Tuchel was sacked in Paris on Christmas Eve before taking the Chelsea job and leading them to Champions League success this past season.
He spent just over two years with Paris Saint Germain, working closely with Mbappe.
Mbappe told BILD via Fussball Transfers: “He’s fantastic tactically.
“He knows exactly how opponents will behave and can predict matches very accurately.
“And we must also take this into account: he is still a very young coach. He can become one of the best coaches of the future. He proved it no sooner than with his victory in the Champions League.”
Tuchel was sacked by Paris Saint Germain on Christmas Eve before replacing Frank Lampard at Chelsea in January.
In England, Tuchel thrived, guiding Chelsea into the top four and Champions League qualification, reaching the FA Cup final, where they were beaten by Leicester City, ahead of winning the Champions League final in Porto.
The German, 47, has just extended his contract with Chelsea to 2024.
At Paris Saint Germain, Tuchel twice won the Ligue 1 title, plus also the Coupe de France and Coupe de la Ligue.