Gudmundsson has been linked with Tottenham, along with Juventus and Napoli.
If I was to leave Genoa, it would only be for an incredible opportunity," the 26-year-old said to La Gazzetta dello Sport.
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As a child, I used to dream of the Premier League, but I've changed my mind now. There is a great life here. So soon Genoa and I will sit down at a table and find the best solution for me and for them."
Gudmundsson added: My preferred position is as a Number 10, as it is important for me to have the freedom to roam and express my creativity."