The leading credit rating agency said it recognises Rajan's contribution in setting significant policy changes in motion and said the new Governor will inherit a solid basis.
"From a rating perspective, policies are more important than personalities," said Thomas Rookmaaker, Director in Fitch's Asia-Pacific Sovereigns Group.
"The problems associated with both high inflation and weak bank balance sheets have been recognised, and policy makers are doing something about it, including through the set-up of new policy frameworks.
For India, Fitch Ratings has 'BBB-' rating -- the lowest investment grade rating just a notch above junk grade -- with a stable outlook and has forecast 8 per cent GDP growth for 2016-17.
Rajan made a surprise announcement on Saturday that he was opting against a second term after his current three-year tenure ends on September 4.
Stocks and currency markets opened weak this morning -- the first trading session after Rajan's announcement -- but hectic buying by some institutional investors and intervention by the RBI helped recoup the losses in equity markets and the rupee value, respectively.
"The next Governor seems to inherit a solid basis in this regard, providing him or her a good opportunity to continue to pursue relatively low consumer price inflation and strengthened bank balance sheets," he added.
Rajan, a former IMF chief economist who is credited to have predicted the 2008 global financial crisis, has been often hailed as the 'rockstar' central bank Governor ever since becoming RBI Governor in September 2013 and for containing rupee volatility amid global market uncertainties.