No explanation necessary. Have him and the Q collective just as an alien race.
Though in fairness, Futurama never really did anything that could be construed as a Star Trek rip off and the character, even if JDL provided the voice, could be taken that way.
All of the references were done as blatantly as possible, so even non fans would get it. Q may have gone over people's heads.
Also, they mainly referenced the original series, with TNG onwards barely even acknowledged.
Could have been fun though.