The 26-year-old netted just once, late in the campaign, during his time with the Swans after arriving on a season-long stint from Kaiserslautern.
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"I experienced a tough season," Shecter told the Jerusalem Post. "I didn't feel part of the team. I had to take a step back to regain confidence and enjoy playing once more.
"I'm really happy to be back home. Perhaps I could have made more money at other clubs, but I'd rather play for Hapoel.
"The expectations from me would have been high regardless of my salary and I will do my all to repay the club."