The Reds' £32million summer signing hit a disputed winner as the Merseysiders snatched a 1-0 victory over Barclays Premier League newcomers Bournemouth at Anfield.
Benteke struck from close range after 26 minutes, a goal referee Craig Pawson allowed to stand despite team-mate Philippe Coutinho having appeared to be offside.
That added to the Cherries' frustrations after having a Tommy Elphick header harshly disallowed for a foul in the opening minutes, but they were no concern of Benteke's.
The former Aston Villa forward said: "It was important for me on my debut at Anfield to score and help the team win.
"Now we have six points, we are top of the league and we want to keep going and work hard to stay there.
"I'm settled. I am happy and I try to improve myself and be there for my team-mates."
