The 27-year-old has led the Bulls for the past three glory-filled seasons.
Although Beadle accepts it will be a blow to lose the fans’ favourite, he won’t stand in his way.
Oates played for the Grecians during their 3-1 win at Bideford AFC on Tuesday night.
The defender could find out if he has done enough to earn a League Two deal in the next few days.
Hereford are aiming for a fourth straight promotion and begin their National League North campaign at home to Blyth Spartans on August 4.
Beadle told the Hereford Times: “The three years he has been here has been here he has been fantastic.
“At the moment we see it that he is away for a short spell and then hopefully he will be back for Saturday.
“We will wait and see what happens. It’s not a difficult situation, it’s just one that came about very quickly.
“It is a great time in his career to try and see if he can get a full-time contract in the game and everyone here at Edgar Street is willing him to do well.”