Koeman has enjoyed a brilliant debut campaign in English football, where he has helped the Saints to sustain a top-four challenge.
Southampton have defied expectations and Clyne has hailed the Dutch manager's role in their success.
"Definitely, especially if we get to fourth spot," Clyne said, when asked whether Koeman deserves to win the Premier League's Manger of the Year award. "Why not? He's done terrifically.
"He's come in and brought in players that can adapt to the Premier League. He's a good manager."
Koeman's job at Southampton looked to be an unenviable one, but he has done brilliantly to hold the squad together in the face of adversity.
The Saints lost the core of the team that made them a success in 2013/14 over the summer, but Koeman purchased well and has devised a system that has got the best out of his players.
The South Coast club have been defensively strong, while they have also proved to be a threat going forward.
It means that Koeman will surely be one of the leading contenders to scoop the Manger of the Year award, but his chances of getting it may come down to whether or not Southampton qualify for the Champions League.
At the moment Southampton are six points adrift of the top four, but they reminded everyone of their qualities in a 1-1 draw against Chelsea in their most recent performance and if they are able to pick up a few more victories between now and the end of the season, they could move back into the qualification spots for Europe's highest-profile competition.