Matigimu, 27, earns a maiden call-up with Richard Ngarava unavailable due to a back injury. Batter Ben Curran is also out with a fractured finger.
Prince Masvaure and Takudzwanashe Kaitano are back in the squad to bolster the batting, while leg-spinner Vincent Masekesa also earns a recall. The team will be led by captain Craig Ervine.
The first test will be played from June 28th - July 2nd, with the second also in Bulawayo from July 6th - 10th.
Zimbabwe squad
Craig Ervine (captain), Brian Bennett, Tanaka Chivanga, Trevor Gwandu, Takudzwanashe Kaitano, Wesley Madhevere, Clive Madande, Vincent Masekesa, Wellington Masakadza, Prince Masvaure, Kundai Matigimu, Blessing Muzarabani, Newman Nyamhuri, Tafadzwa Tsiga, Nicholas Welch and Sean Williams.