The Bees underlined their ambition to make the top-flight earlier this month when they splashed a club-record fee on 26-year-old Denmark international Bjelland.
Brentford reached the play-offs last season before bowing out to Middlesbrough in the semi-final and Bjelland is confident they will be challenging again.
“I like the project very much, what they are trying to build and what they are trying to do. The goal is the Premier League,” he said.
“The club has been growing for many years and they want to continue that. Of course it’s difficult in a tough league like the Championship but I like the ambition of the club.
“Everyone hopes we can improve from last year but it will be difficult. It’s a tough league with a lot of good teams and the pressure from the outside, people will expect a lot more after last year. It will be tough but we are going to work on it.”