When gas switch on an atwood water heater is turned on, the electric switch blinked and unit doesn't light

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Copy following link for possible troubleshoot resources:
http://waterheatertimer.org/Atwood-water-heater-resources.html
Might want to call service technician instead of messing with gas appliance.
Or sent to service center.
Install 20 gallon under counter electric water heater and connect to 120Volt... 1500 watt element will heat water pretty quickly. To have more hot available, turn up water heater thermostat, then that will give 2 showers because more cold will be added to very hot water, thereby stretching amount of available hot..
http://waterheatertimer.org/How-to-install-under-counter-water-heater.html
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http://waterheatertimer.org/How-to-test-water-heater-element.html
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Check for a bad fuse in panel first, then with a 12 volt test light or multimeter, check for power in to switch, as well as out when in on position if it's easy to get to. If not, turn switch on and test for voltage at brown wire to thermostat terminal, that comes from inside at back of water heater from switch inside. If it has cut-out switch in plastic sleeve attached, be sure to check for power on both ends of that cut-out switch. If power only in but not out, replace it. As I said,that brown wire comes from switch, so if no power to it, check at switch. The other brown wire goes back to connector on ignition board. If power is there, turn switch off, take an eraser on end of a pencil and rub contacts on ignition board/module to clean them off, as well as spray electrical cleaner on contacts of connector to make sure you have a good connection. Check all ground connections as well, and if you have 12 volts at brown wire to connector on ignition board but still no spark, replace ignition board/module.

I do not have specific answer.

Open following links to identify product, download service guide and download manual for the different model numbers, plus parts list and other resources:

Page 3-4 of following manual shows switch settings for LP gas.
On-line manual can be word-searched for 'switch.'
This water heater has remote switch, which is the switch you are talking about. It also has limit switch and ECO (energy cut-off switch)
http://waterheatertimer.org/pdf/Atwood-installation-maintenance.pdf

http://waterheatertimer.org/pdf/Atwood-Water-Heater-Service-manual.pdf
http://waterheatertimer.org/Atwood-water-heater-resources.html

Leaking propane is red flag #1 and fire hazard.
Immediately update your insurance and then turn off gas.
If pilot is not staying lit, then gas leak can be cause of pilot problem since pressure on the line is reduced.
Other causes include bad gas control valve, air in the gas line, bad thermocouple, burner parts need cleaning, or all the above.
After fixing leak, replace thermocouple, clean combustion chamber and burner parts, and bleed gas line to remove air.

More resources:
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Yes. As long as it's an atwood 6 gal., the opening should be same dimensions. Keep in mind that you will need to supply hydro to water heater in order to operate it on electric, as well as switch etc. For electronic ignition of gas, you will need to supply a 12 VDC source, and switch as well.

Sounds like it. Before replacing gas control, try removing thermocouple connection at valve and spray electrical cleaner in there and blow out with compressed air after, being careful not to get it in your eyes. If no electrical cleaner, try WD-40 and blow out after. If you twist up a piece of fine steel wool and insert in there as well and try to spin/twist it to clean contact inside may help as well. Blow out goo after and re-install fitting and try again. If that doesn"t work, replace gas control.
P.S. Highly recommend certified experienced tech perform this control valve replacement if necessary.

The two switches control the water heater either in the gas or electric mode. The switch with the lights would be for the gas operation, and the switch without lights would be for the electric mode. Prior to operating either switch, make sure the water tank is full of water. Turn your hot water tap on, if water comes out, tank is full. Connect trailer to 110 Volt source, turn circuit breakers on, Place switch without lights to on position. If water does not heat in 45 minutes, Install new heat proble. The gas mode should be repaired by someone that is familiar with that system. Atwood can provide you with a local service center.

I am having the same problem. Is your water heater a power vent?