Fiorini, 19, who has signed a new five-year deal with the Manchester giants, is Appleton's first summer signing.
Fiorini will report for pre-season training with the Imps this week.
"I've spoken with the manager," said Fiorini. "He's shown me some of the young talent that he's worked with over the years. His plans along with Lincoln's ideas really seem to suit me and I cannot wait to get going.
"Last year was my first season in professional football and I managed to settle down, break into the team and scored a few good goals too. I'm hoping to carry that on this season with Lincoln."
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