Malouda, whose Olympique Lyon club said on Sunday they had reached a deal with Chelsea, and Ivory Coast striker Drogba once played together for French side Guingamp before moving on to more prestigious clubs.
"Didier pushed a bit, a lot even," Malouda told L'Equipe. "But then, at Chelsea, that's not enough to recruit a player."
A left-footed attacking midfielder, Malouda, who is both blessed with great quality and physically strong, said he was a Chelsea fan.
"They were my number one choice for many reasons," he said. "I saw several matches there as a spectator and I always enjoyed it very much. There was also the coach, who really wanted to have me, and life in London, because I want my family to feel at ease.
"The most important thing was I felt they really wanted me. I also feel the kind of football they play suits me quite well."