The Norwegian defender, who joined Celtic in 2010 from Stabaek, turned down the club's offer of a new deal in February.
The 22-year-old expressed his frustration at his lack of regular first-team football with the likes of Kelvin Wilson, Efe Ambrose and Charlie Mulgrew all ahead of him in Neil Lennon's pecking order.
Rogne is not keen to discuss his long-term future, but admits he will use this summer's European Under 21s Championship as the chance to put himself in the shop window.
"That is not something I want to talk about," Rogne told VG when asked about his contract situation.
"The last time we talked about an extention of the contract was one year ago.
"Then, we didn't reach an agreement about something.
"That is not a problem for me. I am concentrating on playing football and we got a European Championship coming up and I look forward to that.
"There are many good teams, good players and many clubs in the stands. If you play and convince them, doors can open for you."
Rogne admits he is unsure why he has found himself out of the first-team picture this season.
"I don't know why it has turned out like this and I am not satisfied with the lack of playing time," added Rogne.
"But I just got to work with myself and see what I can do better. It is a matter of delivering the goods all the time."