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This is despite Amakhosi dropping two points in the 2-2 draw against Baroka in Polokwane at the weekend.
"I think it is still possible that we can win all (the remaining) nine games. We also still have the Nedbank Cup to play for, so we are very much still in it," said Parker, who was on the scoresheet from the penalty he converted on the stroke of halftime on Saturday.
He also created Chiefs' opening goal for defender Eric Mathoho in the sixth minute.
Chiefs allowed Baroka to level the match on two occasions. The home side clawed back through Victor Letsoalo, and Chiefs let it slip again with 10 minutes remaining.
Chiefs' defenders were caught ball watching when Mxolisi Kunene turned and outran them from the halfway line to earn Baroka a crucial point.
"It's disappointing for us that we dropped two points. We had a great positive start, but they scored a good goal (through Letsoalo)," Parker said. "In the second half, we came out guns blazing and kept pushing until the hour-mark when we went a little bit on the backfoot. We allowed them to come at us until they got the (second) goal."
Parker remains upbeat about the team's chances in their fight for the league title.
Chiefs' biggest test will come when they host Mamelodi Sundowns on April 1.