The Manchester United defender was picked to start the game against the Clarets.
The Red Devils ran out as 1-0 winners as Evans set up Bruno Fernandes with a brilliant ball over the top of the hosts defensive line.
Evans was also unlucky to have a goal ruled out as Rasmus Hojlund was stood in an offside position.
Despite Burnley putting in a good effort, Evans was able to help Man United keep a clean sheet and win their first game after three straight defeats.
Evans’ former team-mate Neville was relieved to see him do well
On his podcast, he said, “I’m going to speak openly about this.
“When I saw Jonny Evans in the team… he’s been a fantastic defender for Man United and Man City wanted him three or four years ago, and Pep Guardiola doesn’t pick mugs.
“But I thought, ‘Oh, Jonny’ [and] at the end of my career at Man Utd, I had a couple of games where people went past me and I was isolated.
“I thought it was a game which could have finished Jonny, if those Burnley forwards got at him.
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“But I was delighted with how the game went for him. He set up the lovely little pass to Bruno Fernandes.
“I was happy for him, because I had fear about how it was going to go.”
Evans claimed that the night was the “best in his life” as he made his second full club debut and 200th appearance.
Fernandes was given the Man of the Match award for his performance, but he gave it to the defender.
Evans rejoined Man United after he was released by Leicester City following their relegation from the Premier League.
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