It depends on the emphasis. For example:
a) I played it once (in the past) but I didn't like it. I am not interested in playing it again.
b) I have played it once (at some point in my life). I am not sure if I will play it again - who knows?
In b), you could also use "played" (past simple) and many US English speakers prefer this option. Either is correct.
In a), it would feel a little unnatural for native speakers to use the present perfect because of the inconsistency with the tense of "didn't like".