Speaking at a news conferene called to mark a year to go until the start of the Euro 2016 Championship, which France is hosting, Platini quickly set the tone.
"Today's press conference has been scheduled for several months, long before the recent developments within FIFA," he told journalists.
"Many of you have come here to ask me questions on the FIFA developments and on my personal future plans. I will address these matters one day, but today is not the time nor the place.
"I do not want the news about FIFA to get in the way of news about UEFA."
Platini is a former ally of Blatter, who announced in Zurich last week that he was standing down after 17 years as head of FIFA amid two probes into corruption at the heart of the Swiss-based organisation.
But Platini later turned against him and was one of the most strident voices calling for Blatter to stand down.
Platini's name has been mentioned as a possible successor as FIFA president, but he so far has given no indication if he will step forward as a candidate.
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