Eriksson and Sun Jihai will spend two days in Shanghai where they will today announce new major commercial deals with Chinese technology companies.
They will then move to Bangkok to announce more good news on the commercial front before arriving back in Manchester on Saturday.
Eriksson told City's website: "This visit reflects the global nature of football and it's good that we are now attracting interest from other countries.
"Dr Thaksin has asked me to go and with it being international week there will be very few players at training."
With Barclays Premier League football a huge attraction in most of Asia, City are hoping to capitalise on the international growth of the league.
Eriksson added: "I'm told there's more interest out there and with the owner coming from Thailand I'm sure that's got bigger and bigger of late.
"I know that the Chairman's message was that he wants Manchester City to grow, not just in England, but also in many other parts of the world.
"We are going with the idea of making the name of Manchester City even better known in Asia. That's a target for the Club, and I'm also going to meet potential sponsors for the Club. I'll be a kind of ambassador for the Club and I'm looking forward to it."