Reports last week suggested that the Premier League rivals were interested in the South Korean international, who has scored nine goals in the Bundesliga this season.
His agent Thies Bliemeister also claims that Inter Milan have enquired about the 20-year-old, who is believed to be valued at around £10m.
However, he hinted that his client is in no rush to leave the Imtech Arena after signing an extension to his contract.
"Inter Milan's emissaries saw a couple of his matches, but so far I have not had any contact with the Italian club's officials," he told Interlive.
"He has signed a new contract with Hamburg SV extending it for one year, but there have been many offers for him as from Manchester United and Chelsea."
Son has scored one goal in 12 appearances for his country.