White has turned down England selection this past week.
"It is strange," Jenas told the Daily Mail.
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"I think not everybody's patriotic, and I think we have to accept that. I think Ben has his own reasons why he feels it's best for him to not be selected for England. For all we know, him not being selected with England has such a positive impact on his club career, and he wants to focus on that.
"Not everybody's the same in football. We like to kind of pigeonhole players like, 'you've got to fight for your country'. It might be a footballing reason. It might be like, 'what's the point in me going if I'm not going to play?'
"I hope that there's no negative fallback for Ben because he's been brilliant for Arsenal and I think he's got to decide what's best for his career, nobody else."