The Hammers ran out 2-0 winners on Monday night to secure their first home win of the season under Slaven Bilic, taking them up to fifth in the Premier League table as a result.
The star of the show was unquestionably summer signing Dimitri Payet, who got both goals in the game - the first a curled effort from the edge of the box and the other a composed finish after Moses had struck the crossbar.
And the Frenchman came in for praise from Sullivan, with him revealing that he was Bilic’s number one target this summer.
“I would particularly like to pick out Dimitri Payet who along with a number of other players was outstanding,” he told whufc.com.
“I said when we first signed him that he was world class and I'm sure all the fans can see the quality he is bringing to the first-team this season. He was Slaven's number one target to bring to the club and we are delighted that he chose to join us.”
Impressive debut for Moses
The West Ham chief has also praised Victor Moses after his impressive debut for the Hammers in the same game.
The winger was secured in a deadline day deal with Chelsea, with him set to spend the 2015/16 campaign on loan Upton Park, following a successful spell with Stoke City last season.
He was unlucky not to get a goal on his debut, having struck the woodwork following a swift counter attack, and Sullivan says they knew he would add pace and power to the side when they moved to secure him.
“I know Slaven was particularly impressed with another new signing Victor Moses,” he added.
“He also produced a fantastic display and had a memorable debut for the Club. We knew he would bring pace and power to the side and like Payet he can change the game at any stage.”