I noticed static on fm station on my radio. the

Most likely the antenna lead has come unhooked from the back of the radio. AM stations will pick up with the internal working of the radio, but FM stations have to have a working antenna to work. Also make the antenna is tight to the vehicle .

check your antenna

cuts out ?
well, all FM radios cut out for.:
1: weak station.
2: stereo can not be held in properly( can be bypassed on most RAD , pick mono)
3: AGC drop out, same as #1

on better radios (RTM) you can defeat these default features.
set the FM to mono channel mode, and now you hear all stations.
also kill the AGC mode. this allows you to hear
the station. and static or both. like a Marconi radio of days of old.
modern radios are programmed to blank weak stations.
tis a fact. im a tech and tuned these features, for 50 years.

ok the fix,
1: move closer to station
2: get a better antenna (vast choices)
3: go to station and turn the gain knob up and get arrested by FCC.

the operator guide in the glove box , covers time set.
all radios do that.
and if not normal, the antenna is broken or fell off the rear of radio.

if got static switch to FM ,
many AM stations, broadcase to am and fm same content.
so use FM. its static free. (by design) but does fade sooner.
you can in fact hear AM station 12,000 miles away it night
called super stations, 50,000 watt stations. ive done this many time.

did you try another car, in same spot , and same station?
are you in under ground parking?

Best guess is the antenna has a broken wire/lead, or somehow got unplugged from the radio. You will have to remove the radio to check antenna wire with Volt/ohm meter.

Check the antenna plugged.

ckek your antena wire behind glove box if its ok problem in radio

antenna is desconnected, find lead and reconnect .

check for antenna ground if corroded relocalize the ground.

if you are receiving stations on the higher frequencies then your radio is the problem and not your antenna or anything else