Suzuki x4 2009 fan does not spin but when I turn air on it blows cold air.

There are doors in the heater case, operated by vacuum hoses that open and close them. Yours need to be checked, as they are not working. If they were working you would have warm air, not cold.
What about the fans? They don't turn on, or they don't turn by hand freely? They should be free-wheeling when not on, spin them by hand to check. If your air conditioning is actually working as intended, then one of the fans should be on when AC is used. The other fan (on driver's side) doesn't turn on until the coolant reaches a certain temperature, and it is a pretty high temperature. You probably should have the coolant system checked out.

is this a HVAC question heater and a/C?
cold engines, make only cold air
hot engines make hot air.
for 100 +years. now.

some times.
ok when id dont blow, cold
is the compressor main shaft spinning and engine rpm over 750 RPM
the pully spinning means nothing,, it does that all time running.

it will need service,
check pressures.
hot air as in heater on, so turn off the heater,
test in pure A/C mode Cold.
when both A/C and heat are on this is called defrost mode
which adds cold dry air to hot air and dehumidifes the hot air and window.

Hey Anon, Are you SURE you got the correct belt?? Something does not sound right about this...???... Double check all the pulleys when the belts are off...the alternator should spin freely, all the the idler pulleys should spin free..(ones that just spin and guide but are NOT connected to anything)!! This very thing happened to me...it was a $12 idler pulley that did nothing but spun and guided the belt..

AC dead. all the time? truly all times.
1: does the fan blow? full speed.
2: does AC work on a hot day and a cold started engine? y/n
3: did you check the freon pressure, with the cheap refill kit
that has a gauge with the kit and hose.
is the gunge reading zero?
4: you start engine, and open hood and look at the AC compressor.
is the fan belt to that compressor turning, or is the belt missing.
if turning is the AC pulley spinning, that is not just the pulley but the
compressor front part and its main shaft, are they spinning.?
if not the AC clutch is disengaged.
if disEngaged, that means the AC logic box, is not happy.
The AC logic box can shut down the AC for 4 or more reasons.
and to find that , I stop here.
the fsm shows the pins on the logic box to see with logic input is failing.
on my car, its:
1: A/C on , switch is off.
2: fan not on, or power to it dead, no fan the logic cuts the compressor so the core dont freeze up and crack.
3: engine overload
4: engine overheat.
5: freon pressure too high.
6: freon pressure too low.
7: too cold outside, so shuts down , has to be extreme cold, RTM.
at the least. all this logic functions, save fuel and save other parts
from damage. and huge costs.

that is it for today, one more unsolved.

heater will blow cold till engine warms up ??

For this types of problem,i suggest you to check this help links:----Car heater blowing warm, but not hot air?http://schematicsdiagram.blogspot.com/2011/12/car-heater-blowing-warm-but-not-hot-air.html
---------A/C, heater, defroster fan, not working?http://technoanswers.blogspot.in/2012/02/ac-heater-defroster-fan-not-working.html
--------Heater problem?http://technoanswers.blogspot.in/2012/02/heater-problem-on-isuzu-trooper.html
---------Engine Overheats and heater blowing cold?http://howtobyme.blogspot.com/2011/11/engine-overheats-and-heater-blowing.html
-----------Heat blows cold on drivers side and hot on passenger side?http://schematicsdiagram.blogspot.com/2011/12/heat-blows-cold-on-drivers-side-and-hot.html----------------This will help.Thanks.

You may want to have your fan clutch checked. If the fan on your water pump does not spin very hard when the vehicle is idleing than it doesn't draw air through the condenser and that air keeps the condenser cooler plus it keeps the pressure down on the high side of the ac system. leave comment.

Lots of possibilities. The first thing I would do is to have someone turn it on and off, while you look around under the hood (carefully, because fans go on and off).
The first thing you want to see, is if the AC compressor clutch is turning on and off properly. When the fan clutch is off, the outside of the pully will spin with the belt, but the inside will be standing still. When it is on, the whole pulley turns. If this does not work, then it could be a fuse, switch, or the clutch itself.
If this is working, then you need to look into the small sight glass in the top of the receiver/dryer, which is a small vertical cylinder. It should show a flow of clear fluid. Bubbles means it is low on freon.
But the controls could be screwed up, with the hot water staying on, the cold air not be allowed in, etc.'
Operating the controls should allow you to see these things working.
To go beyond this, like check the compressor, the expansion valve, etc., you would need to put a set of pressure gauges on, which are about $50, and come with instructions. There are 2 because you want to compare the input and output sides of the compressor.