Harrison has shone for New York City FC during the last two seasons, since making his breakthrough in America.
Now Stoke are keen on bringing him back to England, with a move to the Premier League.
“As to the Stoke City rumours, nothing is official yet," said Harrison, speaking to the Independent.
“I'm still a New York City player right now and that's where my mind is at.
“I just leave it all to my agent. I don't like to think too much about that stuff or get caught up in it."