Payet moved to Upton Park from Marseille for around £10.7m back in June and has settled immediately in his new surroundings, turning in a number of eye-catching performances already.
The France international playmaker scored both goals on Monday as the Hammers cruised past Newcastle 2-0, and Payet now has three goals for the season for Bilic's high-flyers.
Payet starred in wins away at both Arsenal and Liverpool and was a constant source of creativity alongside Victor Moses against the Magpies on Monday.
Speaking to Sky Sports Monday Night Football after the game, Bilic admitted that he was unsure if the club would be able to land the highly-rated Payet before he signed, and the Croatian manager was full of praise for West Ham's latest star.
Bilic said: “He was the player that I really wanted from the start. We really wanted him but [the deal] was done so quickly. It was done in five days and to be fair I didn’t believe that it was going to happen.
"I have known the player for a long time and I even tried to sign him for Besiktas last year but it was impossible. He’s one of those players that is not only a great who decides games but he makes all the players around him play better and this is the most important thing in football.
"He is a player who is an individual who scores goals and decides games but he makes all the other players around him better."
Bilic's side travel to Premier League leaders Manchester City on Saturday.