The Norwich striker, who has also been linked with Hearts , described the experience of a player at this time in the footballing calendar as ‘mental’ and said there has been no contact from either club.
Naismith revealed it is his desire to return to his home country at some point but is willing to be patient and wait on the right opportunity.
He said in his BBC Sport column: “It is more than just picking a club and going to them. It is about what the club is doing going forward? Is there something I can bring to the team? Can I maybe help along some of the youngsters?
“They are big things for me in terms of where I could be moving next. I have a family to think about as well.
“My oldest is turning five this year, so in England she is in her reception year. In Scotland, she would start school after the summer.
“There have been a lot of stories linking me with two of my old clubs, Kilmarnock and Rangers. I have not spoken to either of them, but I am not ruling out any clubs at this stage.
“I have not hidden the fact that I am definitely going back to play in Scotland one day.
“Whether that is sooner or later, we will wait and see. But it is something I really want to do. I want to go back when I have something to give and feel…