Despite doubts being cast over Ranieri’s suitability in the King Power Stadium hot seat, the Italian has now overseen two wins in his opening two matches as Leicester boss.
The Foxes took the lead through new signing Shinji Okazaki’s first goal, with Riyad Mahrez ensuring that Dimitri Payet’s finish for the Hammers was a mere consolation.
Ranieri was quick to play down expectations after his side climbed to the top of the primitive league table, insisting he would rather “maintain a low profile”.
Speaking to reporters after the game, he said: “I look at the table and then I say ‘okay, us six points’.
“That is important for us, not to be top of the league. That is for others, not me. I don’t think too much.
“I look at my players, I train my players…they can win, they can draw, they can lose. But now we have six points which is very, very important for us to maintain ourselves and play in that league.
“I want to maintain a low profile. We can’t think we are top of the league. We have six points that is important for us.”
Ranieri was impressed with his side’s defensive resolve in surviving an onslaught from the home side after Payet’s second-half strike, saying his side “suffer and fight together”.
“In the second half we suffered a lot.
“First half we played well; ball on the floor, play quickly, two touches and I think we surprised West Ham. Afterwards it was normal, West Ham play at home, want to draw the match, and we conceded a lot of the pitch to them.
“We suffer and then I watched my players suffer and fight together. And that’s it. They are afraid, I didn’t know, but now I am very happy for all the performances.”
“All the match was good for us,” he added, speaking to BBC Sport. “We are playing well. All the players play like a team, they play with the ball on the ground and it is important to increase our stamina and fitness, and also our mentality.
“We are working very hard with the defensive line. I have very good players in front, very fast but it is important we all stay together.
“I didn’t want to defend too deep but when you see your players go deep it is better to help them with their mentality.”