The company suffered an operating loss of 49.5 billion won ($46 million) in the April-June period of this year.
As part of efforts for survival, Pantech is encouraging about 800 employees, or a fourth of its workforce, to take a voluntary six-month leave of absence.
Park, 51, founded a small mobile venture firm in 1991 and made it South Korea's third-largest mobile phone manufacturer.
Sources close to Pantech said that Park offered to step down, citing his poor health conditions as well as the company's poor sales performance.
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