I have a 2007 700 artic cat 4x4, it has a voltage draw when key is off. why?

What about the spark plug wires, perhaps they are done.

Make sure the kill switch/etc is not in the OFF position!
..Check to see if the spark plug will fire..this will be a two man job... if not..proceed with the following..
... Disconnect the battery.. check the voltage... should be 12.5+ volts if its fully charged..
Reconnect the battery... MAKE SURE you have a thick wire from the battery to the solenoid... now...check the voltage on the +wire from the battery at the solenoid stud.. should be 12.5+ volts..(same as battery)..
If you have voltage at the solenoid, take a screwdriver and jump between the main threaded studs of the solenoid.. it should turn the engine over.. if not.. you have a bad solenoid..OR NO voltage!!

Do this and repost with the results...

They are available through a artic cat dealer, thats where I would go first. These aftermarket ones I just dont like in this application

From what I understand it is stamped on the left side of the cylinder head, behind a hose.

If this does not help, contact artic cat dealer and speak to a service rep.
Hope this helps!

sounds like the throttle cable is sticking insde the jacket.
here are the service manuals for all Arctic cat ATVs

Parts House Lawn Mower Parts and Chain Saw Trimmer Parts

Here are the service manuals for all Arctic cat ATVs

Parts House Lawn Mower Parts and Chain Saw Trimmer Parts

vaccum leak ? hoses cracked at connector. intake manifold leaking ,cracked ?

What else are you expecting to come on with one click of the key? The only thing I can think that maybe would come on would be a light for the gear you're in or possibly the brake light?

Here are the service manuals for all Arctic cat ATVs

Parts House Lawn Mower Parts and Chain Saw Trimmer Parts