But Flower, now the England assistant coach, said the suspension was in sharp contrast to the "pathetically weak" way in which South African officials had previously dealt with Zimbabwe.
Cricket South Africa's action thrust the whole issue of Zimbabwe cricket on to the agenda of next week's International Cricket Council (ICC) board meeting in Dubai.
Flower took a very public stand against President Robert Mugabe's regime when he and then team-mate Henry Olonga wore black armbands mourning the 'death of democracy' in Zimbabwe during the 2003 World Cup in southern Africa.
"I think South Africa has been pathetically weak about the whole subject," Flower told reporters at The Oval here Tuesday ahead of the fourth one-day international between England and New Zealand.
"I like the fact that they are moving onto stronger language and being more decisive," he added. "Things are spiralling out of control so quickly in Zimbabwe now.
"I hope someone does something to arrest that. If suspending Zimbabwe from the ICC is the first step then that's good.
"I support a suspension. We should not have normal relations with a country in such an abnormal state. I don't think they should play in England next year on either the tour or in the ICC World Twenty20."
That the ICC annual meeting is taking place in Dubai and not at Lord's, its traditional home, is due to the uncertainty over whether Peter Chingoka, the Zimbabwe Cricket (ZC) chairman would be granted an entry visa to Britain.
And Flower insisted: "I'm no politician when it comes to the ICC but I do know that Peter Chingoka is part of Mugabe's despicable clan and the fact that he's allowed to prance around with the ICC colours on and sit on ICC committees is embarrassing.
"And embarrassing for the ICC to have him on there - he's just not a good enough person to be making decisions about anything, especially not the finances of the ICC for instance."
Zimbabwe, who effectively suspended themselves from Test cricket following a collapse in playing standard sparked by a race row regarding selection, remain an active one-day international side.
And it would need the votes of seven of their nine other full ICC members for them to be suspended from the one-day game.
When Zimbabwe last came to England, in 2003, cricket chiefs did not receive a firm instruction from the British Government to call it off.
As a result, the England and Wales Cricket Board (ECB) felt duty bound to proceed or risk an ICC fine. However, a spokesman said Tuesday: "Under the current circumstances it's the Government's view that the tour would clearly be unwelcome.
"We would also have serious concerns about Zimbabwe participating in the Twenty20 World Cup."
During the 2003 World Cup, England refused to play a match in Zimbabwe on security grounds.
England one-day captain Paul Collingwood, who was a member of that side, said Tuesday: "Since 2001, when I started playing for England, the Zimbabwe issue has always come around and there have always been difficult decisions to be made, certainly from a player's point of view.
"But this (Zimbabwe touring England) is something out of the players' hands thankfully this time. This a decision for the ICC, the ECB and government to make."
Zimbabwe's political crisis deepened on Sunday when opposition leader Morgan Tsvangirai announced he would no longer take part in a run-off election due to mounting violence against his supporters. The vote had been set for Friday.
That prompted CSA to suspend Monday its bilateral agreements with Zimbabwe.
"In the past, CSA has defended Zimbabwe cricket against heavy odds, but the general situation in Zimbabwe has now made this untenable," said CSA president Norman Arendse.