The 30-year-old is a free agent after leaving Utrecht over the summer and is able to sign for City outside of the transfer window.
He has been offered a move to the Liberty Stadium and his agent Karel Jansen confirmed the attacker is keen to join the Championship club.
Jansen claims talks are ongoing and he is optimistic a deal can be agreed for the former Ajax youngster to link up with Paulo Sousa's squad.
"Cedric is very interested in the move to Swansea. They have made an offer and we are currently negotiating," Jansen told Sky Sports.
"It's not finalised yet, but I am hopeful it can go through. The player is willing to join Swansea, but they have to get the deal right.
"They are not far off. We are just waiting to hear back from them. I don't know when the move will go through. We are just waiting for Swansea."