The striker returned to the Republic of Ireland squad this year, scoring his first goal against Switzerland at the Aviva.
It was the first time McGoldrick has been nominated for the award, fending off competition from fellow first-time nominees Glenn Whelan and Enda Stevens.
The Sheffield United player said there was a number of his Irish teammates who also deserved the award.
“I think there are a lot of players who could have got it from their performances throughout the campaign. There is a wealth of experience and young, talented players as well so it’s a real honour and privilege to win this award ahead of them,” McGoldrick told FAI TV.
“In previous years, I was in and out of the squads and didn’t really get the consistent game-time, which is fair enough. But to get game-time and to show what I can do and to win this award on the back end of it ahead of Enda Stevens and Glenn Whelan, I’m proud of myself for that.
“It’s been a crazy year. It’s gone really fast. Obviously I got my international goal at the start of the season, which gave me massive confidence. My performances have been good and to score my two Premier League goals that’s what I wanted, that’s what every player wants. Altogether it’s been a crazy and a weird season at the same time with what is happening in the world.”
Looking forward to his next outing with the national squad, the 32-year-old will be hoping to be included in the Republic’s games against Bulgaria and Finland next month.
“Everyone will be itching to see what the squad is and if you get selected. I know it’s going to be a busy schedule when we meet up but everyone will be itching to impress – first impressions are a big one,” he said.
“It will be no different if you are one of the older ones, like me, or a younger boy who is getting his first call-up you are going to be itching for it. And that’s good because it balances out the whole team and everyone is fighting for the shirt and that’s what we want.”