Chelsea announced on Monday they had sacked manager Frank Lampard after a poor run in the Premier League.
"This was a very difficult decision for the club, not least because I have an excellent personal relationship with Frank and I have the utmost respect for him," said owner Roman Abramovich.
Chelsea are struggling in ninth place in the Premier League table, 11 points behind leaders Manchester United.
They have lost five of their past eight Premier League matches after a good start to the season.
"Former Paris Saint-Germain boss Thomas Tuchel in line to take over," reports said.