Norburn is a free agent after leaving Bristol Rovers in April and he played one half of the Pilgrims' 5-1 pre-season win over Tavistock.
And Sheridan believes the 21-year-old possesses a lot of qualities to make it in Sky Bet League Two.
Argyle's manager told the club's website: "He's got lots of things that I really like in his game.
"He's got a lovely range of passing, he's a good age, size and he's got all the attributes I am looking for in a midfield player. It's down to Ollie."
Sheridan is yet to fill the void left by captain Conor Hourihane, who left for Barnsley earlier in the summer, but Sheridan insists he does not see Norburn as a direct replacement .
He added: "He's a bit different player to Conor, but the way I'm going to play this season might be a little but different.
"I'll possibly be looking for someone who is going to sit in that central midfield area. I've got Dominic Blizzard who I want to come back and have a lot better (a) season than last and I want Tyler Harvey to believe he can really play in there."
Another player on trial is 22-year-old American Duncan Capriotti. He also played in the Tavistock win, but Sheridan does not think Capriotti will be a mainstay at the club.
He added: "Young Duncan has come a long way to be involved to try to give himself an opportunity.
"I don't think I'll be doing anything with him, but I think it's only right I look after him properly and give him an opportunity to be involved in the game on Saturday. He's comfortable with that."