Roddan, 20, made just one appearance for the Cumbrians when he stepped off the substitutes' bench in last month's home win against Tranmere.
"Craig is a great lad and he has worked very hard with us, but it's one we aren't going to pursue at this moment in time," Carlisle boss Graham Kavanagh told the club's official website.
"It goes without saying that we wish him all the very best as he goes back to Anfield."
Twenty years old and even Carlisle don't want him? Hmmm....- godzilla