The Blues have had seven different managers since Abramovic took over the club in 2003, including Hiddink as a caretaker coach in 2009 following the dismissal of Luiz Felipe Scolari.
Winner: Guus Hiddink won the FA Cup while in charge at Chelsea
Andre Villa-Boas is the latest man to be handed the reins, with the Portuguese replacing Carlo Ancelotti over the summer.
And Turkey coach Hiddink is hoping the 33-year-old will be given the chance to prove himself by the Russian billionaire.
'If you look at Manchester United, they are the example that clubs need stability,' the Dutchman said.
Short-lived: Both Carlo Ancelotti (left) and Luiz Felipe Scolari had spells at Chelsea
'This is what Chelsea need as well. I have told Roman that and I think they are convinced as well now.
'Look at the record of Carlo, he won the double. Of course, if you win the double and you go it is harsh. Carlo did well for the last two years but, hopefully, this decision will bring success as well.'
Hiddink is also confident Villa-Boas can overcome his youth and inexperience to make his mark at Chelsea.
Pointing the way to success: Andre Villas-Boas needs time says Hiddink
'It is a very young age for Villas-Boas to be Chelsea's manager, but he has already proved at Porto he is good,' Hiddink said.
'It depends on the quality of the manager and how he deals with senior players. Age does not have to mean the players consider him as a brother.
'If they feel he is straightforward and has integrity, he will be fine.'
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Source: Daily Mail
Source: Daily Mail