But Shinawatra, who saw City squander a two-goal lead to lose 3-2 at home to relegation threatened Fulham on Saturday, is reportedly unhappy at the perceived lack of progress at the club, leaving Eriksson's future in jeopardy.
However, the Swede's agent, Athole Still, insists his client will not leave Eastlands at the end of the season.
He said: "There is no way he will quit after the successful job he has done."
City responded to the rumours by releasing a short statement saying: "Sven-Goran Eriksson has confirmed that he has no plans to leave the club. He will be at Carrington to take training as normal."
Meanwhile, Thaksin insists he is not about to walk away from the club, and says he is determined to make Manchester City into one of the most recognisable names in world football.
"I want to keep the club long-term," he told the BBC. "It will remain private and I want to hold it for life.
"I see the club as always growing and growing beyond the city of Manchester. The Premier League is a global brand, so if we are in the Uefa Cup or Champions League it will mean we will go beyond Manchester.
"I felt very optimistic after I got Sven-Goran Eriksson as coach," he added. "We also got some new players and even though it was quite heavy on my pocket, I was very confident the club would be moving forward.
"At the start of the season we were playing exciting football and making new friends. I like that style and the way Sven was training them, the way the team came together and the way they played football."