Stoke City have been linked with a move for the Sweden international, capped twice by his country earlier in 2013.
Quaison helped the Stockholm club to the runners-up position behind Malmo in the race for the Swedish title race, which ended in early November.
Since making his AIK debut in April 2012, Quaison has become a regular pick in both domestic competition and the Europa League.
"We have never had a serious offer for Robin," the club's sporting director Bjoern Westroem told Fotbolldirekt.se.
"We know Robin is a skilled footballer and therefore it is natural that bigger clubs with better finances are keeping tabs on him.
"He has produced good displays here and in the national team. If the scouts have not noticed him, they have not been doing their jobs properly."