Fitch sees 1-2 notch downgrade for some euro states
Fitch put Belgium, Spain, Slovenia, Italy, Ireland and Cyprus on negative watch late last year on Dec 16.
Fitch told the eurozone at the time that it thought a comprehensive solution to the bloc's debt crisis is was beyond reach.
Rating agency peer Standard & Poor's cut ratings on a swathe of eurozone states earlier this month.
As for Spain, Parker said the review would take into account the new government's recent actions to cut costs and implement reforms, but said "there are continuing problems with the public finances and bank assets and the labour market is dysfunctional."
Parker said the review would be concluded by the end of January.