The 25-year-old, part of the Benfica side that finished second behind Porto in last season's Portuguese league, has been linked with Manchester United in recent years.
However Gaitan's representative Jose Iribarren has told the press in Portugal that the highly-rated player, who joined Benfica from Boca Juniors in 2010, intends to remain with his current club.
"For now, there is no formal offer," said Iribarren.
"He wants to continue at Benfica next season. We know the rumours have been appearing in the newspapers but I cannot confirm that there is particular interest from one club.
"To repeat, Nico Gaitan is calm and happy at Benfica."