United have not won the title since Sir Alex Ferguson stepped down in 2013, but Mourinho believes they are ready to end that wait this season.
“Yes, we can it,” said Mourinho. “I’m happy to start Sunday – we are ready.
“I would say there are seven teams to fight for the title and 20 teams to fight every week for every match.
“It’s different than any of the other leagues. I worked in three other leagues apart from the English one and every opponent gives you a hard time, but we are involved in four comps.
“We added three players as you know – one defender, one midfielder and one attacking player, but for this beginning of the season we lost important players too.
“We lost Marcos Rojo, Ashley Young, Luke Shaw and Zlatan, we lost players to injuries, so I think between the players we lost and the ones we got, we’re in a similar situation with more experience of working together, of a much better pre-season than we had last season, with the confidence levels of a team that won a European competition, one that is back in Champions League.
“So the motivation is higher and the confidence levels too, so I would say I’m really happy to start the Premier League this weekend, because our pre-season was very complete and was organised in a way where we start playing against MLS teams and we ended it playing against the best teams in Europe.”
On Ibrahimovic, Mourinho said there was still a possibility of the striker – who scored 28 goals last season before serious injury ended his campaign – rejoining United for the second half of the season.
“You know he’s injured, he needs time to recover, he’s not ready to play,” said Mourinho. “It’s not something urgent, that we are desperate to have it done or not done, I just think that he was very clear by showing what he did last year was not enough for him.
“He thinks he can do more and wants more at the highest level, so we’re having conversations and we’re discussing the possibility of him to stay with us for the second part of the season.
Mourinho has spent £146million on Romelu Lukaku, Victor Lindelof and Nemanja Matic, with the United boss admitting he still wants one more signing before the August 31 transfer deadline.
“You know, in my initial analyse coming from January and progressively through the other months, I was thinking about four players,” said Mourinho.
“But I’m not a difficult person to work with, in spite of it looking different, and I understand the reality of the market, I understand the reality of the numbers, and I also understand that my club, by doing 75 per cent of what I initially asked, I think the club did very well.
“So I don’t think I am in a position of crying, moaning, protesting, I am not in a position to say I am not happy with, I am happy with the effort the club did, before the Premier League starts and if until the August 31 the remaining 25 per cent don’t arrive I will not moan, I will just go with everything I have to try to win every match we play.”