The Argentina great is a long-term FIFA critic and last month told a local radio station he was “enjoying” the crisis engulfing world football’s governing body.
Sepp Blatter has since resigned the presidency, although he remains in post pending a timetable for a new election.
That is likely to happen in December or early next year, and journalist and writer Morales says Maradona wants it made public that his name will be on the ballot paper.
“He told me he was going to run for president of FIFA and authorised me to inform,” tweeted Morales, who co-hosted a television programme with Maradona during last year’s World Cup finals.
“‘I am a candidate’ were the words Diego Maradona used to answer me when I consulted him about the nomination for the presidency of FIFA.”
Former Brazil star Zico has also announced his intention to run, while Liberian FA boss Musa Bility last week said he would stand.