Mathie will hold the position for the 2020 and 2021 Currie Cup and SuperSport Challenge seasons.
Smith, a shining light for the tourists on a dull day in Manchester, was 60 not out in a stumps total of 170-3 on a rain-marred first day of the fourth Test where only 44 overs out of a scheduled 90 were bowled.
Misbah will be Pakistan's 30th head coach – but it is the first time that the head coach will also be the chief selector, along the lines of the system in New Zealand.
Stanley Raubenheimer called a young group of nine players that will form the core of the SA Invitational XV for their matches against a touring Spanish team in the next two weeks.
The two-legged qualifier had ended goalless after 120 minutes on Tuesday night.
The team leaves for the sub-continent on Friday ahead of three T20s and three Test matches.
The Italy international is likely to return in March, meaning he could be fit for the Champions League quarter-finals if Juventus make it that far.
Chipolopolo and Bafana Bafana were scheduled to square off on Saturday in Zambia.
Captain Siya Kolisi comes back into the side after fully recovering from a knee injury – the only change from the 23 selected for the 16-16 in New Zealand in July that set South Africa on their way to winning their first Rugby Championship.
Several big-name players did change clubs on loans, including Mauro Icardi moving to Paris Saint-Germain from Inter Milan and Nikola Kalinic and Henrikh Mkhitaryan going out to Roma from Atletico Madrid and Arsenal.
