The 59-year-old's first match in charge of City will be against Supersport United in Pretoria this Sunday, followed by another in Durban next Thursday.
City, who arrived in South Africa on Thursday morning, will then head to the Far East to take part in the Barclays Asia Trophy which will be shown on Sky Sports 1 HD and could include a match against Tottenham - depending on how results go.
On their return from Hong Kong, City face further friendlies against AC Milan and Arsenal ahead of the new season with Pellegrini backing himself to deliver success to the Etihad Stadium.
But despite a lack of trophies in Spain, the Chilean insists he was a success at Villarreal, Real Madrid and Malaga.
Pellegrini said: "I won a lot of trophies in South America, then I started with Villarreal and it is very difficult for Villarreal to win a title in Spain.
"It is very difficult to arrive with Villarreal at the quarter-finals and semi-finals of the Champions League, or finish second in the league - 10 points behind Barcelona - but that is my work at Villarreal. To win a title is impossible.
"At Real Madrid, we finished second in my only season with 96 points, when we played a whole year against a great Barcelona.
"I am sure that, if I had stayed at Real Madrid, we could have won a lot of trophies.
"Malaga was exactly the same as Villarreal. You can't win the title with Malaga in Spain but we reached the Champions League quarter-finals and could have continued to the semi-finals but for a referee against Dortmund.
"It is a very important time in my career in Europe and with a strong squad, as we have here in Manchester, I am absolutely sure we can win trophies."