Edinson Cavani trained with Manchester United's first-team squad on Tuesday
(Image: Getty Images)
Cavani's existing United deal expires in June and he's expected not to sign an extension after almost leaving the club in the summer.
Despite this, Rangnick made no suggestion the striker will call time on his Old Trafford career in January when speaking to the club's website.
"I'm very much looking forward to hopefully next week having Rapha [Varane] back again, Edi Cavani," said the German coach.
"My ambition to work with all the players for most of the season, reduce the number of injuries in the next couple of weeks and months, and having them all on board."
Cavani hasn't played since October as a result of an ongoing tendon issue but is hoping to return to first-team action shortly.
He won't feature in United's Champions League game against Young Boys at Old Trafford on Wednesday evening, but Rangnick is expected to play some of his fringe players.
The likes of Donny van de Beek, Jesse Lingard, Dean Henderson, Nemanja Matic and Juan Mata have all struggled for minutes this season.
"I want to get to know the other players," added Rangnick. "The ones who haven't played against Crystal Palace.
"And it's also wise, at this stage of the season, with the crowded fixture list of the next few weeks and months, to rest a few players.
"Because, as we saw, the way that we played against Palace was high intensity.
"It's not so easy to play on that level with the same group of players every three days and therefore, for me, it absolutely makes sense to do some sort of rotation.
"Even more so in a game that we still want to win – that's our ethos.
Ralf Rangnick is looking forward to working with Cavani
(Image: Ash Donelon/Manchester United via Getty Images)
"We want to win games at Manchester United – but it's not that much at stake for us, and therefore it makes sense to give some other players the chance to present themselves."
On who will feature, Rangnick added: "The younger players, to give them game time.
"The same with Mason Greenwood, who hasn't played that much in the last couple of weeks, so he will also definitely play.
"But also a few of the experienced ones who didn't get that much game time in the past. Aaron [Wan-Bissaka], hopefully even Luke [Shaw] will be available for the game.
"Nemanja [Matic] will be the captain tomorrow. Juan Mata will get game time. Jesse Lingard.
"So we have quite a few players who will be playing tomorrow, and who definitely and desperately need game time."