Palace went behind in the first half despite having perhaps the better of the early exchanges after Bradley Johnson fired home from 18 yards.
It took less than five minutes for Palace's response as Jason Puncheon dispatched a penalty won by captain Mile Jedinak on the stroke of half time.
Despite the endeavours of both sides - the hosts in particular - they had to settle for a point which could yet prove to be vital in the relegation battle.
Asked whether he deemed the draw to be a good point for his side, Pulis told Sky Sports: "It is in some ways.
"The conditions have been very difficult, but we had the better chances and more of the play.
"We could have won the game."
The game courted controversy twice, with the most notable incident being Marouane Chamakh's apparent grabbing of the throat of Norwich's Wes Hoolahan after Norwich's opener.
Pulis remained coy on the subject, instead praising referee Mike Dean for his handling of the game.
"I've not seen it, but I thought Mike (Dean) refereed the game well today, but I haven't seen it."
Leroy Fer was then sent off for a second bookable offence late on, another incident which Pulis insists he didn't see.
"I'll have to look at that. If it's two booking it's two bookings," he added.
In the midst of a relegation battle, Pulis pointed to games in front of a raucous home crowd at Selhurst Park as pivotal, with 11 of their 17 point haul so far coming at home.
"We mustn't lose games at home, but the conditions played such a big part today. It was as difficult a game that I've seen for a long time," he said.
"It's another point. The next couple of weeks are big in respect of recruitment in terms of what we can bring in and let go.
"If we can do some business that'll help us. We know what players we want to bring in.
"Out of respect, we'll keep them close as always."
Pulis was quick to praise his current charges, who have slipped back into the relegation zone after Fulham's win over West Ham.
"They're a great group of players, and they never stop," he said.
He spoke particularly highly of 40-year-old striker Kevin Phillips who, it was announced, will leave the club soon.
"He's been absolutely fantastic, a throwback to the old days. He's a dream to work with, and I wish him all the best."