Hodgson was discussing the calibre of his team's attitude and brought up McArthur as a player who stood out in today's 1-0 victory.
He said: "I’ll give you a name of a guy who today didn’t have his best game for the club: James McArthur.
Crystal Palace manager Roy Hodgson, speaking to Sky Sports: "The goal was unfortunate because Guaita's done so well for us this season. He's made fantastic saves to keep us in games and get us three points at times.
Roy Hodgson's side needed a cutting edge too, of course, and they got it from Tosun, who has joined on loan from Everton.
The Turkey striker marked his first start for the club with a fine finish to give Palace the lead with their first effort at goal, and he tested Ederson again after the break.
Jordan Ayew's deflected equaliser earned Crystal Palace a point at home against Arsenal, who had goalscorer Pierre-Emerick Aubameyang sent off by the video assistant referee (VAR).
Prior to the match, anti-VAR t-shirts had been sold outside Selhurst Park and Palace fans displayed a banner stating it was "killing the game", yet it was the hosts who benefitted from the technology when Aubameyang was dismissed, handing them a man advantage.
"It was a fantastic effort," Hodgson said.
"I thought Jordan did ever so well to set up the first goal.
"The second was one of those wonderful individual efforts that will live long in the memory and get lots of airings on TV.
Newcastle manager Steve Bruce: "I always thought maybe one goal would decide it because Palace don't give much away. We try to prime ourselves the same way. My goalkeeper made a few good saves but I don't think anybody would deny that Almiron deserved the winner.
Former Crystal Palace striker Clinton Morrison on BBC Radio: "I like what Brighton are doing. A new manager has come in and they're playing exciting football - but I don't think that is [ever going to be] Crystal Palace.
Watford interim manager Hayden Mullins said: "It was a hard-earned point and if there was one team that deserved to win it in the second half, it was probably us. I'm happy with the energy levels and the commitment.
Crystal Palace manager Roy Hodgson told Match of the Day: "It was a great victory. I'm full of praise for what the players did today. To firstly lose your centre-back to a challenge which the referee deems to be a red card, and then to lose a left-back in an area where we have no cover.