Emenike was brought in by the Hammers on a loan deal in the January transfer window, and he was used sparingly in his first few weeks at the club.
However, Slaven Bilic handed him his full debut at Ewood Park, and the Nigerian did not disappoint.
Emenike scored twice in West Ham’s 5-1 victory, and he was only denied a hat-trick when his close-range shot hit the post.
“With a number of forwards being ruled out of the game through injury there was a lot of responsibility on the shoulders of new signing Emmanuel Emenike to lead the line and he showed what he can bring to the team,” Sullivan said.
“The second finish in particular was very impressive and he could easily have scored a hat-trick after seeing his shot hit the post late in the game.
“Slaven knows all about him as a player following his time in Russia and Turkey and we are hoping he can stay among the goals in the next few months.”
West Ham are still without Diafra Sakho, who has been injured for a sizeable chunk of the season, while Andy Carroll has recently picked up another fitness problem.
Carroll’s absence leaves Enner Valencia as the Hammers only recognised senior striker, and even he prefers to play in a more withdrawn role.
Emenike, on the other, enjoys being deployed on the shoulder of the last defender, and his pace caused Blackburn’s defence no end of problems.
Emenike’s performance was highly encouraging, and Hammers fans are hoping that he can continue to score after hitting the back of the net for the first time in a claret and blue shirt.
West Ham’s next match comes against Sunderland on Saturday, with Emenike likely to start in the contest.