The 30-year-old is out of contract at Granada at the end of the season and is reported to have rejected a new deal.
Reports have claimed that Swansea manager Michael Laudrup is plotting another raid on La Liga after signing the likes of Chico and Pablo Hernandez since taking charge at the Liberty Stadium.
Lopez is quoted in The Sun: "I want to play and would like to go to England.
"I've many friends there and have to consider it with other proposals."
Newly-relegated Queens Park Rangers and Reading are also reportedly interested in the centre-half, who was rumoured to be a target for Birmingham, Ipswich and Wolves in the January transfer window.