The 50-year-old was annoyed at his player both morally and because he wasted a "great chance" to put the Eagles ahead, while Mauricio Pochettino praised the Saints' performance
The former Arsenal player had a great chance to score when the game was still tied at 0-0 after beating Saints 'keeper Artur Boruc to a loose ball, but he decided to take a tumble and was booked for simulation.
The Eagles boss criticised the Moroccan for trying to con the referee, while he was also bemused as to why the attacker did not just shoot at goal instead.
"Maroune Chamakh looks to have dived which I'm not too happy about," the 50-year-old told reporters. "When I was stood on the line I thought the referee had got it wrong, obviously watching it now he hasn't. He went down far too easily for my liking.
"I can't understand why he didn't chip it or shoot. He felt he could take it past the goalkeeper, he felt there was some contact on him. I thought he had a great chance to score and he didn't possibly make the right choice.
"I haven't [had a word] yet - there was other things I wanted to say.
"I feel totally wrong, I don't understand why he didn't shoot or try to score. He felt he was brought down. So when I sit down with him and show him I'll have to look at how badly I think he was brought down. It's a contentious issue that I will talk about [with] my player."
Palace are now 19th in the Premier League table, having lost five out of their six matches, but Holloway remains defiant about their chances of survival.
"We've got to try and get ourselves some points," he added. "Next week we've got Liverpool away. [Southampton] have just beaten Liverpool away and I saw enough from my team in the first half that if we get an opportunity and if we can score then confidence will come and we'll look a bit brighter about ourselves.
"It's learning about the group, and the group's got to stick together. I won't be blaming my group, I'll be taking the blame myself."
Saints boss Mauricio Pochettino, however, was understandably delighted with his side's near-perfect display and refused to put a limit on any potential achievements this season.
The Argentine said: "Complete happiness for any manager is what happened today - a clean sheet and your two strikers getting on the scoresheet. That's perfect happiness for any manager.
"We're not setting ourselves any limits. We have to keep on believing, the players believe fully in how they're playing and how we want them to play.
"Now we're going to have to work even harder because the teams know us a lot more, they probably respect us a lot more now."