According to the Football411 website, Bafana Bafana have managed seven wins, three draws and four defeats under Igesund, with the former Moroka Swallows coach having also steered them to the Africa Cup of Nations quarter-finals earlier this year, where they were knocked out on penalties by Mali.
Their three losses came against Brazil, Poland and Zambia, with the South Africans losing only by one goal each time after producing a solid performance.
Parker, who has been in fine form in front of goal for club and country for the last 12 months, has a highlighted a renewed positivity and "freshness" about Bafana that has previously not been there.
"From the last year or year before, the team is fresher. We are together. We are motivated. We focus more on ourselves than the opponent, and I think that's important," he told the Sowetan ahead Sunday's crunch 2014 World Cup qualifier against Ethiopia.
The Amakhosi hitman was on target against the Central African Republic at the weekend, but isn't resting on his laurels as he reckons every one of his team-mates is eager to impress for their country.
"No player here is relaxing at training. Even the guys on the bench on Saturday were happy," Parker added.
"The coach has been preaching it all the time: "We are better, we are better, we matched Brazil, we matched Poland. If you believe in yourselves, nobody can touch you."