A hat-trick from AZ Alkmaar striker Parrott, including an injury-time winner, saw Ireland triumph 3-2 on the night and reach the World Cup playoffs.
On the future of the former Tottenham prospect, Kilbane first joked: "Interesting one. What happens for the rest of his career? Honestly, I’d probably tell him to retire now - he’s done enough! He can pack it in!"
However, Kilbane then told Tribalfootball.com: "But look, we’ve all looked at his career. His name has been mentioned for ten years. When he was 13, 14, you heard his name constantly - “next big thing.” He’s had huge pressure on him long before he turned pro.
"At Spurs, he did magic things with the youth team, but there was pressure and expectation that he’d step into the first team immediately. But look at who was around him: Harry Kane, Son Heung-min. It’s virtually impossible for any young player to break in.
"So he had all those loan moves, and they didn’t go how he would’ve expected. But this has been coming for two years."
A Premier League return?
Kilbane added, "Irish fans know he’s not a flash in the pan. The talent is real. If you’re asking me his ceiling: it could be anything he wants. He has the talent.
"It might just take a bit of luck, the right team, the right club if he leaves Holland. He said himself after Portugal: he’s taking every day as it comes. And that’s the best thing for him.
"I hope he plays in the Premier League or a top European league. His talent deserves a big stage. But from an Irish point of view - he’s our number one striker now. And hopefully he fires us through the playoffs."
- Kevin Kilbane was speaking to Tribalfootball on behalf of Betway