Schalke striker Huntelaar was reportedly pursued by all three aforementioned clubs this summer but ultimately was not able to secure a move away from Veltins-Arena before the transfer deadline.
The Dutch international - who netted against Chelsea in the Champions League on Tuesday night to secure Schalke a creditable 1-1 draw at Stamford Bridge - has yet to appear in English football during his illustrious career to date but has made his mark in Germany, Spain and Italy as well as his native Netherlands.
Now aged 31, Huntelaar probably does not have too many explosive years left at the top level of the European game.
Perhaps it is for this reason that the former Real Madrid and AC Milan frontman is exercising a certain amount of caution when it comes to answering questions with regard to swapping the Bundesliga for the Premier League.
"I don't know where the speculation has come from. I was in Schalke and I heard it. The rumours on August 31 [transfer deadline day] somebody used my name and I don't know what's happening," Huntelaar said in an interview that was brought to our attention by talkSPORT.
"It's [the Premier League] a nice league and you never know what's happening. My mind is now on Schalke. I have a contract until the end of the season, maybe we're going to talk someday."
PL move imminent?
While it is not totally apparent at this stage if either Arsenal, Liverpool or Tottenham do plan to revisit their interest in Huntelaar, his obvious admiration for the Premier League would appear to suggest that any future pursuit could end in success.
Perhaps not always likely to start, Huntelaar - who netted for his country at the World Cup in Brazil this summer - is a proven prolific goalscorer who is certainly still capable of having a big impact.
Indeed, with the Gunners having been so desperate to find a suitable replacement for the injured Olivier Giroud last month, he would have provided a cheaper alternative to Danny Welbeck - although he admittedly does not offer the same sort of long-term potential.
Tottenham could certainly benefit from a striker of £12.75 million-rated Huntelaar's class, of course, with only Harry Kane and expensive flop Roberto Soldado currently on hand to deputise for first-choice forward Emmanuel Adebayor at White Hart Lane.