Korea's Football Association (KFA) had hinted the Arsenal striker would play a part in the opening fourth round of 2014 World Cup qualifiers after a meeting last week, but the saga has taken a new twist.
Park was expected to address the media to explain his decision to defer his compulsory military service after obtaining a 10-year Monaco residency visa, but the 26-year-old was absent upon Thursday's squad announcement and his current whereabouts are not known.
On his decision to overlook Park, Choi Kang-Hee told reporters: "I think he should publicise his thoughts clearly. A national team must take into account not only an individual player's capability but the atmosphere of the whole team."
He added: "What is important is whether a player is willing to sacrifice for the team and whether he has pride in his team."
Meanwhile, Choi has called up a number of Europe-based stars including Koo Ja-Cheol, Son Heung-Min and Ji Dong-Won, who all missed the February World Cup qualifier win over Kuwait.
Celtic's Ki Sung-Yueng has also been named in the squad, while Lee Chung-Yong is overlooked despite making two substitute appearances late in the season with Bolton after recovering from a broken leg.
South Korea are due to face Spain in Switzerland on May 30, before taking on Qatar and Lebanon in World Cup qualifying on June 8 and 13 respectively.
|Kim Jin-Hyun||Cerezo Osaka|
|Lee Jung-Soo||Al Sadd|
|Cho Byung-Kook||Jubilo Iwata|
|Cho Yong-Hyung||Al Rayyan|
|Choi Hyo-Jin||Sangju Sangmu|
|Kim Doo-Heon||National Police Agency|
|Kim Bo-Kyung||Cerezo Osaka|
|Kim Jae-Sung||Sangju Sangmu|
|Yeom Ki-Hoon||National Police Agency|