Bosun,
The ESC needs to be able to handle whatever the maximum current draw of the motor is (and just a little bit more as a "fudge factor").
Having said that, there are usually two ways of finding out what the max current draw of the motor will be. Read the specs of the motor from the manufacturor, or test the motor (stall test). The specs need some knowledge of motors to be interpreted correctly. Not always understanding exactly what I read there, my solution is to assume the absolute worst case and use the biggest current draw number as what I'm looking for. Sometimes means a huge 'over kill' for an ESC but certainly safe ($$$!). Doing a stall test using the voltage you plan to use will give you a 'base' number to play with. Add a little to that 'number' for insurance and an ESC that can handle that 'number' should work just fine.
Sound like more work than you thought it would be? Well, it will be, but not all that bad. The 'other' way is to ask someone who'z used the same motor and voltage source (let them do the work!). Being naturally lazy, I like the 'other' idea a lot. From the ESC point of view, more is better, isn't a bad idea, except for the bank account...
- 'Doc
If you do the stall test, and if the motor is as powerful as you think, have a few bandades handy if you plan to hold the motor by hand when you do the test. @#$ things love to chew on fingers!