The Australian international was a teammate of Smeltz's at the Ankara club until they released the New Zealand forward after a disappointing five-month stint.
But Jedinak says the position of the team (14th on the league table) and the need to get positive results quickly led club officials to let a very good player go.
"He (Smeltz) came in. The coach got changed. There were a few different things with management at the club. He was a little bit unfortunate," Jedinak said.
"He had a frustrating time. He wasn't selected in the team. I don't think it was due to lack of quality, because he definitely showed it on the training pitch.
"It was a tough situation. With the club not getting the results on the field, they didn't have the patience.
"I think he's a great player that we have lost."