Kounde has emerged as one of the most sought-after centre-backs in the transfer market after countryman Dayot Upamecano joined Bayern Munich and Ibrahima Konate agreed to swap RB Leipzig for Liverpool.
United have long been linked with a move for Kounde, who helped Sevilla to a fourth-placed finish in LaLiga this term, as Ole Gunnar Solskjaer's Premier League giants reportedly eye a new partner for Harry Maguire.
"Regarding my future, I may change this summer," Kounde told reporters as France prepare for Wednesday's international friendly against Wales, ahead of the upcoming Euro 2020.
"Nothing is for sure yet, I did not take a final decision.
"Obviously, my goal is to play one day in one of the greatest clubs to keep improving and to win trophies.
"Starting every year the season knowing that the goal is to win this or this trophy. I may move but for now, it is not the case."
United already boast captain Maguire – the most expensive defender in history – Victor Lindelof and Eric Bailly in defence, while Axel Tuanzebe has struggled for regular game time.
When comparing Kounde to Maguire, Lindelof and Bailly across domestic league action in 2020-21, the former ranks first in passing accuracy (90.11 percent) and clean sheets (15).
Kounde is only second to Maguire in tackles (27 to 29), tackle success (55.6 to 58.6 percent), interceptions (40 to 60), clearances (100 to 122), recoveries (100 to 122), duel success (60.7 to 65.7 percent) and aerials won (102 to 135).