The 20-year old Denmark international is the subject of interest from the Gunners with reports even suggesting the Saints had tabled a £5million bid for his services.
Despite all the paper talk, Boilesen says he knows nothing of the clubs showing interest but is humbled by the fact that there is speculation regarding his future.
"I have not heard anything about it yet. Someone from the Dutch press told me about it 10 minutes ago that is all I know right now," he told ekstrabladet.dk.
"Therefore it is difficult for me to have an opinion on these rumours. For now I am concentrating on my rehab here at Ajax.
"But, I am very flattered if it is true that a Premier League club has made an offer for me."