Narine, 35, announced his retirement from international cricket in 2023, four years after playing his last match for West Indies against India
Chittagong will host the first two Tests from October 26 and November 3 while Mirpur stages the third from November 11, the Bangladesh Cricket Board said in a statement.
Mirpur also hosts the three one-day internationals (November 19, 21 and 23) and Chittagong two ODIs (November 26 and 28).