Town boss Neil Aspin says striker Andy Bishop left the club in search of first-team football after his abrupt departure from the club after just four appearances.
The 32-year-old was frustrated at his lack of game time at The Shay in the season so far and confided to the Halifax chief that he wanted the chance to go find more football at another club.
His switch to fellow National League side Southport was confirmed on Thursday.
“I had no problem with Andy,” said Aspin.
“We had a chat before the Bromley game and he said he felt that if he wasn’t going to be playing then, at his age, he would move to somewhere where he was.
“I don’t have any problem with that.
“If we’ve played one up-front I’ve obviously gone for Jordan and if we’ve played two, he’s had an opportunity but I’m happy for Sean (Tuton) to play as well.
“I’ve always said if somebody’s not happy at the club then they move on.
“But he didn’t cause any problems. He’s a good lad.
“All players look at it from their side of things but he just needed a goal, that’s all.
“I’m sure if he’d got one he’d have kicked on, but I can’t wait for that to happen.”