Have a 1hp 11 amp above ground pool pump that is going to be about 50 feet away from the breaker. Will 12 gauge wire be enough to run it?
Photo of the pump can be seen at link below https://photos.app.goo.gl/qZxYcZ9aCNohwWk67
Motor conductors are sized as a continuous load (125% of Full Load Amps), so 12AWG is more than adequate for an 11A motor.
However, unjacketed MC cable like what you linked is not suitable for wet locations or direct burial, so it can't be used outside. Furthermore, since this is a pool pump you're wiring, NEC 680.11 governs what wiring methods you can use:
680.11 Underground Wiring Location. Underground wiring shall be permitted where installed in rigid metal conduit, intermediate metal conduit, rigid polyvinyl chloride conduit, reinforced thermosetting resin conduit, or Type MC cable, suitable for the conditions subject to that location. Underground wiring shall not be permitted under the pool unless this wiring is necessary to supply pool equipment permitted by this article. Minimum cover depths shall be as given in Table 300.5.
As a result of this and the fact PVC-jacketed MC (which can be buried) isn't typical big-box fare, you cannot use direct buried cable for this, and basically are forced to go with conduit (typically, rigid PVC at Code burial depths), with individual 12AWG THWN wires inside instead of a cable. Once you get into the house, though, you can transition at a box to a different wiring method (such as regular MC or NM).
12 gauge wire will be fine for 11 amps at 50 feet. It is common in my state (SC) to use 14 gauge in-house wiring for 120v circuits, over 100 feet. Well within building code.
A better question would be how do you plan to run it?
You can buy direct burial cable, but my thoughts are that's kinda dangerous. I ran power to my shed inside PVC conduit which I buried. I still used burial cable because I've never dug up buried conduit and not found water in the pipe, but I use the conduit because if someone hits it with a shovel, they have to hit it a lot to electrocute themselves, and hopefully before that happens, they calm down and think, dig by hand, and find the pipe. PVC Conduit is very inexpensive, and cheap insurance.
But you asked whether 12 gauge wire can handle 11 amps at 50 feet and NEC (national electric code) says a resounding yes.