Lampard, who won three Premier League titles and one Champions League alongside Drogba at Chelsea, was finally unveiled as Maurizio Sarri's successor by the London club on Thursday morning, joining from Derby on a three-year contract.
Writing on Instagram, Drogba said: "Good luck, proud to see you coming back home @franklampard".
That sentiment was echoed by Michael Essien, another member of the 2011-12 Champions League-winning squad.
He wrote: "Proud to see you coming back home @franklampard, Good luck and all the best @chelseafc .Come On Blues".
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!