Where is the fuel filter on a Yamaha grizzly 350

There isn't one. You have to put one in-
line

Replace the coil.

Hi Curtis:
Considering the age of the machine I'd be looking at basic maintenance first. Things like air filter, fuel filter, carb condition, spark plugs, oil and oil filter change. Then start thinking about valve condition and clearances.

google search Yamaha Grizzly Pull Start Kit instructions and choose images to get exploded view.
link is the install, should be the same as yours.
press the helpful button

Yamaha Big Bear 350 recoil start install

Sounds like your idle/slow speed carb circuit is plugged. A carb cleaning and spraying all passageways with aerosol carb cleaner should find your lost idle

probably has a mesh filter in the fuel tank

Disconnect the fuel line at the fuel filter or carby, without starting the engine, turn the key to the on position. The pump should start , now watch to see if you have an even flow from the hose, if it looks like spluttering you may have a problem, also check the fuel filter.

what year? pull cable under seat on some? (under plastic ) has looped cable , just pull it. along edge of seat on others small lever pull up towards seat.

see this link... should fix the problem
02 03 Reverse OR

Sounds like it has sat for a while and your jets are gummed in the carb there is a you tube video on this topic that will walk you through the repair other thing to check turn fuel tank valve to off position remove fuel hose at carb slowly turn valve on to see if you have fuel to the carb if there is fuel there turn valve off install hose back on carb remove remove hose at tank valve now on the bottom of the carb you will see a plug or screw loosen this ( there may be fuel running out of drain hose have a bucket to catch fuel) now on the hose at tank valve blow threw it ( do not use air compressor) air should blow freely if it dose not your needle valve is stuck and there is no fuel getting to the carb or stuck float or a hole in the float and full of fuel