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The 29-year-old rejected the chance to become the highest-paid defender in the Blues' history and is now expected to join Real Madrid on a free transfer.
Rudiger was an integral part of the Blues' 2021 Champions League triumph and has been a firm favourite with the Stamford Bridge faithful this season and Tuchel admits he will be "incredibly difficult" to replace especially with the club unable to recruit new players or hand existing stars new contracts due to UK Government sanctions.
Asked if the Blues can recruit a suitable replacement this summer, Tuchel said: "Well, in the moment no; because of the sanctions, and even if hopefully the sanctions will be in the past, even then it will be incredibly difficult. "Because Toni is what he is, a big personality, and a big leader. "He takes fear away from other people, gives you confidence when he's next to you and he played between 50, 60 matches over 90 minutes on an incredible level of consistency. "It will be challenging, but like always, no matter how much I love Toni and how big a role he played, there will be life, there will be Chelsea without Toni Rudiger, and we will need to find solutions. "The situation is that Toni will leave the club this summer, he wants to leave the club. He told me this privately. "Toni is a key figure and will stay that way until the end of the season, but it is disappointing of course and we will miss him a lot. "I had a big connection with Toni from day one, and he deserves my full support because he delivered incredible performances until today, so reliable. "So it was a give and take. "And I know that he's very aware of it, and I'm just happy to have had the chance to coach him and to have him in the team. "Because he was nothing else but brilliant until today. "And the club did as well. We had offers, we had big offers for him and the club tried everything for him. "But since some weeks we cannot fight any more, since we had the sanctions we cannot adjust, we cannot continue. So it is what it is." Chelsea have fallen under Government restrictions since owner Roman Abramovich was sanctioned by Downing Street on March 10. Russian-Israeli billionaire Abramovich put Chelsea up for sale officially on March 2, owing to Russia's continued invasion of Ukraine. The 55-year-old was then sanctioned with the Government claiming to have proven his links to Russia president Vladimir Putin. Los Angeles Dodgers part-owner Todd Boehly, Sir Martin Broughton and Boston Celtics co-owner Steve Pagliuca are the three bidders left vying to buy Chelsea. New York merchant bank the Raine Group still hopes to select a preferred bidder in time for the sale to be completed in May. Asked if he wants the takeover sorted as soon as possible to help planning for next season, Tuchel said: "Yeah it would be ideal, but even if we wish for it you cannot pull grass that it grows faster. "We have to deal with the reality and at the moment sanctions are still in place. "The situation is not cleared for next season, so we try to focus on what we can influence, and this is the next match." Chelsea edged out 10-man West Ham 1-0 at Stamford Bridge on Sunday, thanks to Christian Pulisic's last-minute strike. Jorginho missed a penalty four minutes from time in an incident which saw West Ham defender Craig Dawson sent off for bringing down Romelu Lukaku, leaving USA forward Pulisic to spare the Italy midfielder's blushes. "The performance today was a bit due to uncertainty of the last results," said Tuchel. "Games like West Ham are very hard to have spectacular open games. But we grew into it, we never lost discipline and we never lost patience."