Neymar and Mbappe's future in PSG has been constantly put in doubt as both of them have been linked away from PSG on various news outlets.
Neymar have been linked on a return to Spain after spending two years in France while Mbappe gave a hint on his exit from PSG at the Ligue 1 Awards.
Tuchel has acknowledged that both players could leave PSG as it's hard to keep such players in the club.
"This is football," Tuchel said at a media conference when asked about the transfer speculation over his two prized assets.
"Many clubs want to transfer many players. But if you ask me, the manager, yes I want them here next season. But if not, we will find solutions."
Tuchel also played down the significance of Mbappe's comments, saying they were normal for a player of his stature.
"He doesn't need to give a speech to say that," said the German. "He's a special guy, and just wants to score, score and score again, to have all of the trophies possible.
"The guys are special, we have to accept that. I'm not annoyed.
"I'm not going to lose my head about that speech. I talk to Kylian every day, he knows what I want; we have a trusting relationship between us."
By Ayodele Emaye