Suppose this appeared in Star Trek
A single seat fighter with quantum flux warp engines, shields, phaser cannons, and quantum flux torpedoes, top speed is warp 9.8. The quantum flux engines use a zero point energy cell that needs to be replaced after 24 hours of usage, this cell is not rechargable. The ship requires no antimatter to operate.
What Star Trek time period would this likely appear in?
Agree with Albertese. 25th or 26th century although maybe as early as 24th century in the TNG-continuity.
"Quantum"-named weaponry only start to appear in late 23rd century. ZPEs unheard of AFAIK in TNG-continuity.
A fighter as you described would have a maximum range of 50 LY on one 24 hour ZPE in the TNG continuity. (Warp 9.9 = 21,000c from "The 37's".