But Given believes that if these signings cannot help deliver the title, or at least Champions League football, then Mancini may pay the penalty with his job.
"We're at the point where the club have invested so much and the manager understands and knows the pressure's on to get results and to get trophies," he said.
"I don't want to say we are going into the League to finish fourth. We are going into the league to win it and if we don't do that the next thing will be top four.
"But with the squad of players we have and the additions we are making we've got to be looking to challenge Chelsea, Manchester United and Arsenal, teams like that, to win the Premier League.
"That's the mindset we've got to set out with. Silva is a top player. I know he has been at Valencia for a number of years playing Champions League football.
"I know he and David Villa have been the mainstay of their team so it's another real coup for us to get him."
When asked about the expectations on Mancini's shoulders, Given said: "There is pressure all the time on the manager and the players, and rightly so - they've invested a lot of their money into the club and they want results.
"You perform better under pressure. The bigger the game, the task or the occasion the more the player responds to it. That's what I want to be involved in and that's one of the main reasons why I joined Manchester City.
"They have the backing to challenge the top teams in England and even in Europe in years to come. It's very exciting to be a player and a supporter of City because it's a club that's moving forward in a rapid kind of way.
"You look across the city at Sir Alex Ferguson and the success they've had while he's been there. We've got to be patient and build like that because I don't think the answer is changing manager every six months like we see at Real Madrid."