The highly-rated left-back only moved to Tayside in the summer from Queen's Park but the Scotland U21 international has won rave reviews for his performances at United since.
Robertson was tied down to a new three-year contract in October but his representative and Pro Legal Group lawyer Liam O'Donnell insisted: "A number of EPL clubs have been in contact regarding Andy.
"However, he will ignore the speculation and focus on continuing his development at Dundee United. He is perfectly happy at United."
Everton manager Roberto Martinez was at Tannadice on Sunday to watch United's 2-2 Scottish Premiership draw with Hibernian.
It was reported that the Merseyside club are set to offer around £750,000 for Robertson with Martinez willing to loan the player back to the Taysiders for the rest of the campaign before commencing his Toffees' career at the start of next season.
United manager McNamara has several other young stars including Ryan Gauld and John Souttar subject to speculation about their future.
The former Celtic and Scotland defender, however, continues to stress his desire to keep his young players at the club and has admitted he will be happy when the transfer window closes at the end of the month.
After the Hibernian match he said: "It's part of the game these days. You can't get away from it. I'll be happy when the window shuts.
"As far as I'm concerned, it's important that we keep them all so they can continue to learn their trade here."