It depends a bit on the model. Locked rotor compressor motor draw is around 50a, which I think is what I think of as the stalled torque draw. I would guess less then that. 
This is the service manual:
To be complete, here is a owners/installation manual.
Use one of these. EasyStart Micro-Air 368 Advanced Soft Start
I should mention you might want to ask someone like a mechanic at a rv center. They probably would know because certainly someone has had the issue of too small of generator or battery system.
I should have thought of that! No wonder we pay you the big bucks 
Warning: many words ahead.
Not an inverter generator, but I finally taped and wired together a charcoal gas generator. The gasifier is a 30 pound, about 30 liters, propane tank. Valve is replaced with 3/4" pipe close nipple, with a pipe cap on the inside as a nozzle, 1/2" hole. There’s another undrilled cap on the outside to close off the air inlet. The tank is used upside down, with a large hole cut in what was the bottom, inside the round base…I left about 3/4 of an inch between the base and the hole, and added a foam neoprene gasket. Cover is a recycled pot cover (we have a great thrift shop in town. Such lids are generally $0.25). It’s held down with a leaf spring bent from steel shipping strap, that hooks into the holes in the base. The filter is a Harbor Freight soup pot, upside down, with a tin can centered inside. The outlet is through a centered hole in both the can and pot. Foam is pressed into the can. The inlet is crudely tangential, at the top of the filter (bottom of the can and pot). Poor man’s cyclone. Maybe just poor cyclone. The pot lid has a foam gasket, and is held on with a spring made from a patio umbrella stay, which I couldn’t find yesterday, so I tied it on with a bike inner tube. Quality and craftsmanship at any cost .
Sump pump hose runs from the gasifier to the filter, and a thrift shop CPAP 3/4" hose from the filter to the engine.
The generator uses a Harbor Freight 212 cc engine, with a pvc tee replacing the air cleaner. 3/4" hose barb for the gas inlet, 3/4" ball valve for mixture control. The engine belt drives a spare Chrysler alternator left over from our 1973 Dodge van (had a 360 V8, but no wood gas). It turns out a scrounged power steering pulley, I think, is a nice press fit on the engine crankshaft. Pulley ratio is 2.5:1. The alternator is old enough that is uses an external regulator. For the trial, I just drove the field rotor with a separate power supply. To try to get a little more power out of the 45 or 50 amp alternator, I hooked up two deep cycle batteries, 24 volts nominal.
For start up and flaring, I used an air mattress inflator that uses four D cells, which fits the air inlet valve nicely. When I used one of these years ago, it seemed like too much flow for a small gasifier, so I replaced one of the batteries with a dummy jumper. It took about a minute to flare, and the engine started easily, since the blower pulls gas all the way to the carb inlet.
Last night I just ran the engine. That was enough fun to start with. This afternoon, I hooked up the batteries and power supply, and ran it under load:
At idle: 25.5 volts X 3 amps = 76 watts
Max. speed, without loading below the governor speed: 33 volts x 20 amps = 660 watts
Maximum power, steady state: 33.volts x 30 amps = 1kw
Maximum power as engine looses speed: 33 volts x ~40 amps = 1.3kw
Total run time was 20-25 minutes. Gasifier was warm to touch, except at the bottom. There’s aluminum anti-sieze between the inner cap/nozzle, so the bottom is pretty hot. No, I haven’t checked the nozzle yet.
For total honesty, subtract 25 watts or less for the field power. It won’t run the house, but it’s a start, and it’s lots of fun to run the machinery on what would have been the burn pile.
That is awesome progress!! You should post pictures! and.or start a thread for it!!