"Football pitch" could refer to a number of different games and thus pitches. Association Football, Rugby Football, Gaelic Football, American Football, Australian Football or even Wall Football (still played - Eton Wall Game).

"Soccer" is a contraction of "association" so really is the most correct term to use as "football" is just too damned ambiguous.

Of course the whole this is moot as "football" (whatever kind) is a rather pointless game and just an excuse for old men you watch young lads run around in small shorts.