The 29-year-old Wolves frontman was linked with a loan move to Parkhead on the final day of the January transfer window as speculation mounted over Gary Hooper's future amid Norwich's dogged pursuit.
However, both men remained where they were when the 11pm deadline passed on Thursday evening.
Asked if he was tempted by the opportunity to move north of the border, Doyle said: "Obviously.
"They are in a fantastic position, going into the Champions League last 16 and at the top of their league, and it would have been a great opportunity at a massive club for four or five months.
"But, in the end, the chairman at Wolves convinced me that they wanted me to stay on, so it was as simple as that.
"Once the club decided I was staying, that was it, that was the end of it."
Doyle's comments came in Dublin after he was presented with the FAI International Football Goal of the Year award for his winner in the World Cup qualifier in Kazakhstan in September last year.
He said: "I knew we were in a bit of trouble. We needed to win out there to give ourselves a good start in the group and we were 1-0 down after 85 minutes.
"We got two goals in the last five minutes and it was a bit of a blur.
"Stephen Ward knocked one down to me and I caught it nicely and we won the game from nowhere really in the end, so it was nice."
Bolton midfielder Keith Andrews was named International Player of the Year, while Wigan's James McCarthy lifted the Young International Player title and Hull winger Robbie Brady the Under-21s Player of the Year.
The Republic face Poland in a friendly at the Aviva Stadium on Wednesday evening as they prepare for next month's qualifiers against Sweden and Austria.