There is no mention of Quidditch in Deathly Hallows that might refer to the inter-house Quidditch Cup. I am also unaware of any J.K. Rowling interview which touches upon this point.
If I had to guess, I would probably guess that it didn’t take place. We know that Snape is a double agent, trying to keep the students safe from the Carrows:
[Dumbledore said] “I am counting upon you to remain in Lord Voldemort’s good books as long as possible, or Hogwarts will be left to the mercy of the Carrows….”
— Deathly Hallows, chapter 33 (The Prince’s Tale)
Quidditch is an immensely dangerous sport, and there’s plenty of scope for an “accident” to occur to somebody on the pitch, whether at the hands of a student or one of the Carrows. He’d be expected to join in the student-baiting, so no counter-courses or spells for him. Then consider that Quidditch players are fairly high-profile students, and come in for a fair amount of flak, and you see why Snape might be reluctant to allow Quidditch games to run.
There are plenty of plausible cover stories:
- The lack of players (because so many students are absent)
- Wanting to stop students having fun
- Restricting access to brooms, to stop students trying to escape the school (a la Fred and George Weasley)
- To avoid any reminders of Harry or any other high-profile Quidditch players who are now part of the rebellion against Voldemort
You can imagine the Carrows would happily go along with several of those.