With the season set to enter the home straight, Glen feels Hearts have a great chance to increase their advantage on Saturday as they host St Mirren, while close rivals Aberdeen and United meet at Pittodrie.
The teenage striker, who has started the club's last two games, would love to savour continental competition next term and hopes this weekend is pivotal.
Glen also believes the club's bid could be helped by St Mirren playing Motherwell in the Homecoming Scottish Cup and Hearts blocking the Buddies' appeal to put the match back 24 hours to Sunday.
The forward, who only turns 19 next month, said: "It's great we're in third place and Dundee United drawing the other day (with Inverness) was a great help for us.
"We've got United coming up away next weekend and getting a win then would put us in great shape for getting third place.
"A win would also be brilliant this Saturday - and results elsewhere going our way. We've got a great opportunity against St Mirren and we've got to try to take that.
"We've got a little bit of an advantage with them playing on Thursday night. Hopefully they'll be tired and we can get the result."
Glen has had to bide his time to find favour under manager Csaba Laszlo but now appears to be a fixture in his plans, helping his cause with the key second goal in last month's 2-0 Homecoming Scottish Cup win at Hibernian.
But he refuses to describe himself as an out-and-out goalscorer and feels he has other assets to aid Hearts' cause in the coming weeks.
He added: "I've been given the opportunity and I've got to prove, not just to Csaba but the supporters and the rest of the players, that I can take the chance.
"My target is just mainly to stay involved in the first team.
"I wouldn't say I'm an out-and-out goalscorer; I like to be involved more than just getting in the box and scoring goals.
"We've got other strikers here who can score goals, but obviously I like to score as well."
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