Cuellar was one of Rangers' outstanding performers last season, with a string of high-class and assured displays both domestically and on the continent.
Since his £2.6 million transfer from Spanish side Osasuna last summer, Cuellar has found himself as one of the most sought after defenders in Europe, with Newcastle and a host of Italian clubs said to be ready to make a bid for the current Scottish Football Writers' Player of the Year.
However, the player's agent Pedro Bravo has revealed his client's satisfaction at Ibrox, where he has become a fan favourite. Bravo said: "I have heard all the rumours about Newcastle and teams in Italy or Spain wanting Carlos.
"But I haven't heard anything official. There has been no contact or bid. Carlos is happy in Glasgow and doesn't want to leave. The Rangers fans have been incredible with him.
"The only way Carlos would leave is if Rangers received a bid they decide they can't refuse. Then Martin would have to talk with me and Carlos.
"But if Rangers want to speak to us about extending Carlos' contract I will be on the first flight to Glasgow. Carlos is on holiday at the moment but loves life in Scotland and would be keen to stay."