Any space for Q in upcoming episodes:

[SPCTRE]

Spoiler

not really

 

[Michael]

After the first couple of episodes I would have said no, he doesn't fit the show. But now, with the whole Mirror Universe fanwank fest, I think an appearance by Q would fit right in.

How about the Borg? A journey to the post-Nemesis timeframe? Throw in an ancestor of Data's to give Brent Spiner something to do.

 

[Silanda]

No thanks. Though the concept wasn't original, Q was a fresh nemesis for Picard in TNG, and their arc ended nicely with "All Good Things". I didn't appreciate him turning up in Voyager, and I'm absolutely not in favour of any character or race introduced as new in TNG returning in Discovery.

 

[WarpFactorZ]

For what it's worth, in my own personal head canon the Q are an advanced species that are symbiotic with the mycelial network. That's how they can transport themselves (and others) to pretty much any location in spacetime they want.

 

[ItIsGreen]

No Q, but P would be ok, being prequel and all.

Hey, mind your Ps and Qs!

Actually, there is a M Continuum which fought a war against the Q to a stalemate just because someone said "your mother."

I'm not even making that up, it's in the novel I, Q written by John de Lancie and Peter David.

...what.

As most have said, I love John DeLancie as Q but have desire to see him turn up in Discovery.