"I know his personality very well and I know if he comes back he's not protected by history or what he's done for this club previously.
"He is coming with the mentality to make more history."
It was Drogba's equalising header that took the 2012 Champions League final into extra time and his 34 goals in European competition are a Chelsea record, as are the nine strikes in nine cup finals.
The first spell at Stamford Bridge, spanning eight years, produced three Barclays Premier League titles, four FA Cups, two League Cups and the prized victory over Bayern Munich.
Drogba's spell in Chinese football failed to last one of the two-and-a-half year deal amid allegations of unpaid wages, but he enjoyed greater success at Galatasaray, winning the 2012-13 Turkish league title.
At Chelsea he joins a crop of strikers including new signing Diego Costa as well as Romelu Lukaku and Victor Moses, who both spent last season out on loan.
Samuel Eto'o and Demba Ba have already departed the club this summer.