"On behalf of everyone at the club, the board and personally, I would like to thank Frank for his work as head coach and wish him every success in the future", Abramovich said.
Whilst Lampard expressed his disappointment Tuchel's task will be to get the best out of the £200 million ($300 million) of talent that was brought in in the close season.
Although the former Paris Saint-Germain manager has inherited a squad full of global players and talented young stars, Tuchel also has a number of problems to solve.
His falling out with PSG sporting director Leonardo played a large part in that and his habit of fractious relations with his employers does not bode well.
Tuchel's ambition has always been to manage a Premier League club like fellow German and also a former Borussia Dortmund coach Jurgen Klopp.
Chelsea sacked manager Frank Lampard on Monday after a poor run of results left them languishing in mid-table in the Premier League.
"We'll be talking about him being let go in the next 18 months to two years, I'm pretty sure of that".
Leicester City manager Brendan Rodgers, who was in the opposition dugout for Lampard's last league game as Chelsea manager, claimed the former England star deserved more time at Stamford Bridge due to the nature of his squad.
Morris, who played for the club between 1993 and 2003 and also served as an academy coach, accompanied Frank Lampard to Stamford Bridge after also serving as his No 2 at Derby County.
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Liverpool are now sitting fourth in the Premier League table and are going through a hard spell under Klopp - but they are the champions, so the German has a lot to fall back on, regardless of what happens.
Chelsea are now in the 9th position on the Premier League table with 29 points from 19 games.
Tuchel could watch Chelsea's training this afternoon, where he will meet countrymen Rudiger, Timo Werner and Kai Havertz. Ok, results wouldn't have been what they wanted (this season) but it's not what he wanted because he's a victor himself.
"I am grateful to now be part of the Chelsea family - it feels unbelievable!"