Coyotes general manager Don Maloney announced the signing Monday, but didn't disclose financial details.
The 19-year-old Samuelsson is from Scottsdale and is the son of former NHL defenceman and ex-Coyotes assistant coach Ulf Samuelsson.
He has been playing for the Western Hockey League's Edmonton Oil Kings and has 32 goals and 47 assists in 67 games this season. He currently ranks third on the team in goals and points.
Samuelson also played for the Oil Kings and Modo Hockey Ornskoldsvik of the Swedish Elite League and was the 27th overall pick in the 2012 NHL draft by Phoenix.