The American goalkeeper moved to the West Yorkshire outfit on a two-year contract earlier this week.
“I knew that when Uwe was interested that he is not afraid to play young players,” the 20-year-old told NBC Sports. “That is huge for me.
“But I am also really excited to get around him because he’s just a top draw coach. When I am ready and the coaching staff believe that, I am going to hopefully grab the opportunity with both hands and not look back.”
Rosler was not afraid to deploy young players during his time as manager of Championship club Brentford, while Leeds also have a great tradition of giving chances to youngsters.
However, it will not be easy for Horton to break into the first team rightaway, as in Marco Silvestri the Whites have a goalkeeper who is probably good enough to play in the Premier League.
The 24-year-old Italian goalkeeper was one of the best players for Leeds in the recently concluded 2014-15 season.
The former Chievo player featured in 43 appearances in the Championship, keeping 12 clean sheets in the process.
Silvestri made 3.07 saves per game and 2.36 saves per goal on average, and it will be tough for Horton to get the nod ahead of him in the 2015-16 campaign.