On Monday City axed the manager who memorably brought them Premier League success last year and FA Cup victory in 2011 after a disappointing campaign.
With the club still second in the table and runners-up in the FA Cup it seemed a brutal decision but Mancini's position was always likely to be reviewed at the end of the season.
After three days of intense speculation and defeat by Wigan at Wembley that decision was brought forward and results were not the only factor considered.
Tueart, who had two spells at City in the 1970s and 1980s and later served as a director, feels if the club wanted to remove Mancini, it was better done sooner rather than later.
Tueart told Press Association Sport: "Obviously we don't know what goes on behind the scenes but the owners have decided that is the move they want to make.
"If you are going to make the decision, because of what was happening in the press with things coming out, it was best to make a break. If you are going to do it, do it without dragging your feet.
"We couldn't improve our position in the league, we were guaranteed a Champions League place, had virtually guaranteed second position and didn't have anything else to play for.
"So, after losing the FA Cup final, let's just get things in the past and plan for the future as soon as we can. The more time you have to plan for the future the better."