Both teams started with good intent at a bitterly-cold London Stadium, but it was the visitors that took the lead when James Morrison, on his 300th appearance for West Brom, dispossessed Feghouli before finding Chadli.
A groin injury had ruled Andy Carroll out of a fixture attended by England manager Gareth Southgate and forced West Ham's Slaven Bilic to play Michael Antonio as his lone striker.
"And then the last throw-in that [created] the goal was our throw-in".
"They played three at the back and pushed people on and rolled his midfield players on".
"There's been talk of him being called up by England again, but I'm going to be politically incorrect and say I hope he isn't included".
Carroll's recent form had been so impressive that England manager Southgate chose to attend Saturday's game to consider the striker's global prospects.
'The confidence that every player gets when he gets a call-up for the national team is much more than the couple of days he loses, or that he would use to rest.
Maybe a stress ball would do him better.
"It is only that he is doing it more regularly because he is playing and available, apart from this game, for the majority of the games".
He reflected on his departure from the touch line as he said, "It is not for me to make a decision (on whether he faces further punishment), but I have already been punished big time for what happened during the game".
West Ham drop to 10th while Tony Pulis' West Brom stay eighth.
The West Ham boss was responding after Gareth McAuley's late leveller cancelled out second-half efforts from Sofiane Feghouli and Manuel Lanzini.
In what was a thrilling contest between two good sides, here are FIVE things we learned as West Ham and West Brom shared a 2-2 draw at the London Stadium...
Especially with the season Payet had previous year, there's no disguising how much of an impact player he was for the club, but he exhibited a rather fluttery start to the 2016/2017 campaign.