The Chile international was placed on the transfer list in the wake of the deal to sign Lee Bowyer, having made just four starts and two substitute appearances last season.
But his agent Eduardo Pena told the Sunday Sun: "Cruz Azul and Santos Laguna in Mexico are interested in Clarence, along with Sporting in Portugal.
"But he loves Newcastle and would like to play there next season."
Meanwhile Brian Kerr is reported to be keen to speak to Sir Bobby about his first team chances before signing an extension to his current contract.