The 22-year-old completed his £15 million move to the Reds on Friday, which will see his wages from Swansea tripled to £45,000-a-week, with a £2m signing-on fee, and Rodgers promises the Anfield faithful that the Welsh international will shine on Merseyside.
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"This boy, when you see him play, you would think he was a European player," Rodgers told the Liverpool Echo.
"He is a unique player in that he is a British player who doesn't give the ball away.
"He's incredible on the ball. His body work and intelligence for a 22-year-old is frightening.
"You will see when he comes into this team the difference he can make. His game understanding is very good, and he is in love with the football.
"He wants the ball all the time, and he has so much courage to get on the ball and play. I think he will fit in really well with all the other clever players we have at the club."
Allen completed his move after turning out for Team GB at the Olympics, and was reportedly on the radar of several Premier League clubs.