Gallagher is currently on-loan with Charlton Athletic.
He told chelseafc.com: "When you look at Tammy [Abraham], Mason [Mount], Fikayo [Tomori] and Reece [James], all four of them were on loan in the Championship last season. They all did really well, all managed to come back to Chelsea this summer and are now playing in the first team.
"That's the dream for all of us and it has been my dream for years. Seeing their progress gives everyone hope that Frank is giving youngsters a chance so it's a great thing to see."
On his current ambitions, he says: "I normally make short-term goals rather than long-term ones because I just find it more simple. At the start of the season, I wanted to be the best I could possibly be and try to keep Charlton in the Championship because we were one of the favourites to get relegated.
"Since then, I've realised that the team are better than what people were expecting and I've also scored a few goals myself, which is an incredible feeling. My target now is 10 goals and to maybe even push for the play-offs with Charlton - I know that's a big statement but I believe the team is good enough to do it."