Former Arsenal midfielder has told Sky Sports News, broadcast on February 29 at 10.45am, that he was impressed with the mentality of Leicester City after they edged out Norwich City last weekend.
Leicester had spent two weeks dwelling on a last-minute defeat to the Gunners which had seen their lead at the top of the Premier League table reduced to two points, and they found the going tough against a Norwich City outfit determined to earn a result to improve their chances of survival.
It appeared that Leicester would have to make do with a point, but in the closing stages, Leonardo Ulloa netted the only goal of the game at the King Power Stadium to ensure that Claudio Ranieri's men returned to winning ways.
With Arsenal losing at United and Parlour criticising the "grit and desire" during the 3-2 loss at Manchester United, Parlour has acknowledged that the manner in which Leicester dug in to secure maximum points could prove decisive at the end of the campaign.
Parlour said: "They believe they can do it. They were coming off the defeat to Arsenal, which was a big blow for them and then they had a two-week period where they would have been thinking about that result.
"I thought at the weekend they showed that bit of character. When you are playing poorly, it's all about getting that result. No-one will end up talking about Leicester versus Norwich at the end of the season but that result could be so important."
With Tottenham Hotspur, Arsenal and Manchester City not playing until Wednesday, Leicester can move five points clear in the Premier League table with a win over West Bromwich Albion on Tuesday night.