It means Slaven Bilic's side are into the hat for the fourth round draw and extend their run to eight games unbeaten, with three wins in a row in all competitions.
But it seems Gold is concerned the Hammers are not getting the credit they are due.
'Blink and I miss it'
He posted: "I've stayed up until 11.45pm to watch West Ham v Wolves on MOTD l blinked and miss it, what is it with the BBC what do they have against West Ham United?"
I've stay up to 11.45 to watch West Ham v Wolves on MOTD l blinked and miss it, what is it with the BBC what do they have against WHUFC. dg— David Gold (@davidgold) January 9, 2016
In the build-up to the game, Gold was highly critical of current and former BBC pundits Mark Lawrenson and Alan Hansen labelling the Liverpool legends "dinosaurs."
Gold also recently hit out at the MOTD highlights scheduling for the Premier League games, sarcastically tweeting host Gary Lineker after the 2-1 win over Southampton: "I've just found out that West Ham v Southampton is on MOTD just after the 0-0 draw between Yeovil and Oxford United."
Choose your battles
Most West Ham fans would sympathise with Gold's sentiments given that people in the BBC's employ like Lawrenson have predicted 13 losses and just two wins for the club in his weekly column this season, which would leave them second bottom instead of their actual position of sixth.
However, he may want to pick his battles better.
After all the match was hardly a classic. In fact it was a pretty dour game which only really came to life in the last 10 minutes with a fine goal from Jelavic.
He does have a point about the amount of time the show allots to each game, though. Some of the matches got lengthy segments of the show while others literally got 30 seconds.
Perhaps a more even-handed approach is needed to keep the masses - and Gold - happy in future.