But the German opted against rocking up at Stamford Bridge, deciding instead to replace Unai Emery at Ligue 1 giants PSG.
Tuchel did well during his two-and-a-half years in Paris, helping them win consecutive Ligue 1 titles and also making the Champions League final last season.
But he was axed for being outspoken and for allowing PSG to drift into a title race with Lyon, with Mauricio Pochettino being named as his replacement.
Meanwhile, Lampard has attempted to shrug off the mounting sack pressure in the aftermath of the result at the King Power Stadium.
“I can’t get caught up in what the reaction will be because I’d be sitting here all day concerned about it,” said Lampard.