The 48-year-old Argentine will "respect isolation and is subject to the appropriate health protocols", PSG said on Twitter.
His assistants Jesus Perez and Miguel D'Agostino will take charge of the team for Saturday's trip to Angers.
Three PSG players had already tested positive for the virus in the last week -- Brazilian Rafinha, German player Thilo Kehrer and French youth international Colin Dagba.
Former Tottenham coach Pochettino has overseen three PSG games so far, notably winning the Champions Trophy in Lens on Wednesday thanks to a 2-1 win over bitter rivals Marseille.
Pochettino took over from Thomas Tuchel and signed a contract until June 30, 2022 with an option for an additional year.
Pochettino also played for PSG from 2001 to 2003.