Eymael last week confirmed Stars were after Phungwayo following the 29-year-old's release from Pirates.
SuperSport United also showed interest in the ex-Bidvest Wits man, but Eymael says Ea Lla Koto have got their man.
"They [club management] signed Phungwayo," Eymael tells KickOff.com.
Eymael also revealed trialist and fellow left-back Cheslyn Jampies will not be handed a contract by the Premiership outfit.
"He will not [be] signed," adds the Belgian.
Jampies spent the past week with the team, playing in friendlies against Wits and Platinum Stars over the weekend.
Stars general manager Rantsi Mokoena was unavailable for comment.