"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.
"He deserves that - it's a fine reward for his performance today and this season so far."
The Hammers have a difficult game against Leicester at London Stadium on Saturday before they host Bournemouth on New Year's Day.
"We need to recover as soon as we can," said Pellegrini, whose side have only won twice at home this season.
"We need to play our home game where we are not having good results - we have two games in a row there and I hope we start winning."