However, the 22-year-old was replaced by Ki Sung-Yueng on the hour mark against Hibs, moments after Easter Road keeper Graeme Smith had prevented him putting Celtic back in to the lead, after Anthony Stokes had cancelled out Marc-Antoine Fortune's early opener.
Hibs scored a breakaway winner seconds from the end through substitute Danny Galbraith to leave Celtic boss Tony Mowbray under some pressure ahead of Saturday's SPL match against Hamilton at New Douglas Park.
McGinn says he is keeping his fingers crossed he gets another start.
He said: "We had chances to tie the game up against Hibs and I had a chance myself that I should have scored.
"It was a great knock down from Georgios Samaras but it was a good save from their keeper, he was in the right place at the right time.
"I was disappointed having to come off even though I know I didn't play well.
"Thankfully, we will get the chance to put things right against Hamilton on Saturday.
"But hopefully I haven't lost my chance in the team."
Meanwhile, Hamilton manager Billy Reid is hoping for an improvement after being held to a goalless draw by Kilmarnock in midweek.
"We were disappointed," he said. "We played okay in the first half without really creating anything.
"I thought we were by far the better side but we didn't work the goalkeeper enough and we ran out of gas in the second half.
"I couldn't argue about a point, it was a fair result.
"Tuesday's game wasn't like us.
"I look for reasons, I don't like to look for excuses, and I think the reason was that the number of games has caught up on us a bit."
The Accies boss confirmed defender Marvin Andrews has been released by the club.
Reid said: "He is a fantastic guy, a good professional, and was good to have about the place.
"But he just wasn't for us in the SPL and Marvin leaves with our best wishes."
Hamilton v Celtic Correct Score: Celtic 4-0 18/1