"It's my dream to play in NHL and I'll do what it takes to play there someday," Omark told Bob Stauffer on Tuesday on 630 CHED radio, according to the Oilers website.
"I want to play in [the] NHL and that's been my dream for all my life. So I want to try and make the team this year."
Omark, 26, played last season with Zug of the Swiss League and had a league-high 69 points, including 17 goals, in 48 games. Much of that time was spent on a line with Henrik Zetterberg and Damien Brunner of the Detroit Red Wings, who played with Zug during the NHL lockout.
“I had a good year but I wanted to play a lot," Omark said. "The last year I was there in North America, I broke my foot. So I needed to play a lot and I did that. I played with two tremendous players, Henrik Zetterberg and Damien Brunner. I learned a lot from Henrik too. So hopefully I’m better."
Omark played 65 games with the Oilers over parts of the 2010-11 and 2011-12 seasons, scoring eight goals and adding 22 assists for 30 points.
The Oilers elected Omark in the fourth round (No. 97) of the 2007 NHL Draft.