Rose has collected just three points from Bournemouth's first five league matches since taking charge, although the Cherries have also recorded impressive victories elsewhere.
They beat Lincoln City 4-0 in the League Cup before beginning their Europa League campaign with a 2-1 win away to Real Sociedad.
The frustration in the Premier League has largely centred on how Bournemouth have lost points. They have surrendered winning positions in four of their five matches, with late goals deciding three of those games.
Rose nevertheless believes there are encouraging signs in the performances.
“Am I happy with the start I've made? We have three points after five games,” Rose told the Daily Echo.
“That's a fact.”
The former Borussia Dortmund and RB Leipzig coach then stressed that he remains positive about the environment around him.
“But I'm quite happy with the club, with the support of the club, the way we work. The club provides a professional environment,” he said.
“I feel the trust of everyone. Everyone tries to support me and the coaching staff.”
Rose also believes the return of injured players will strengthen Bournemouth's position over the coming months.
“The team is top. We still miss players, but for the next months, I'm quite sure that we get all the injured players back,” he said.
“We need them back to be more competitive during training, to be more competitive in the Premier League.”
Bournemouth's early results have therefore not altered Rose's assessment of the team's underlying performances.
“Everyone watched the games and it's mostly the same after I sit here and we talk about a good performance,” he said.
“We had in every game the chance to win the game, but you don't get points out of good performances.”
That final point is particularly relevant to Bournemouth's start. Rose accepts that playing well is not enough if his side cannot manage the decisive moments at either end of the pitch.
“You need to be ready in particular in special situations in both boxes,” he explained.
The Cherries have already demonstrated that they are capable of producing strong performances under their new manager, but the challenge now is turning those displays into a more consistent return in the Premier League.
For Rose, the support around the club is not in question.
His immediate priority is to recover his injured players, improve Bournemouth's effectiveness in both penalty areas and ensure the performances that have encouraged him begin producing the points he believes they deserve.