McIntosh played midfield for Drexel University in NCAA Division I, scoring 48 goals and adding 17 assists in 2014.
Edmonton acquired the pick in a trade with the Minnesota Swarm.
Jeremy Noble, from Orangeville, Ont., was taken second by the Rochester Knighthawks — via trade with the Vancouver Stealth — and Minnesota picked Miles Thompson third overall.
Eli McLaughlin (Colorado Mammoth), Shane MacDonald (Minnesota), Mark Cockerton (New England), Robert Hope (Colorado) Quinn Powless (New England Black Wolves) and Brandon Goodwin (Buffalo Bandits) rounded out the first round of the draft.
A total of 55 players were selected in the six-round draft.