Vieira is ready to leave Inter in order to get regular first-team action and has been linked with a move to Chelsea.
The Blues have appealed their transfer ban, following their persuit of Gael Kakuta.
“Patrick Viera will be a good addition to our squad, if we can recruit,” Drogba told RTL.
“We know that we will lose two midfielders in January. John Obi Mikel and Michael Essien will be in Angola for African Cup of Nations.
“Vieira? We’d take him anytime. We played against him in pre-season in America. He was ready, in good form and match fit.”
