Speaking after Sunday's 1-0 defeat to Sunderland the Italian confirmed that the pair could still be sold, despite the transfer window closing at 5pm on Tuesday.
Robinho was expected to join AC Milan on a season-long loan, although his hopes of going to the San Siro might have taken a blow after they completed the signing of Zlatan Ibrahimovic from Barcelona.
Santa Cruz has been heavily linked with a number of clubs but a reunion with former City boss Mark Hughes at Fulham looks to be the most likely destination for the Paraguay international.
Mancini hasn't revealed where either player could end up but after leaving them out his of match day squad on Sunday has said he would be willing to left them go.
"I would prefer Shay (Given) to stay, but I spoke with Roque and he has two or three situations, and Robinho is the same.
"We have offers for Roque and Robinho, but I don't know whether they will remain with me."