The Italian has been linked with both Premier League vacancies since being sacked by the Serie A club earlier this week.
The Italian outfit are still paying Ancelotti since he was dismissed, but those payments will cease in the summer or once he finds a new employer.
This news is likely to make Ancelotti a more enticing candidate than ever, given his experience of winning three Champions League trophies, as well as clinching a Premier League title with Chelsea.
Ancelotti has handed over the management of his next move to London-based agency Base Soccer, according to the report.
They are the football wing of the Creative Artists Agency (CAA), who look after the commercial interests of big-name stars like Cristiano Ronaldo, Harry Kane and Dele Alli.
Ancelotti’s dismissal came on the back of a disastrous start to Napoli’s Serie A campaign, which sees them languishing in seventh place, 17 points behind leaders Inter Milan.
Arsenal are on the hunt for a new boss after sacking Unai Emery at the end of November, with Freddie Ljungberg currently in interim charge of the Gunners.
Everton are also looking to appoint a permanent manager after dismissing Marco Silva.
Duncan Ferguson has taken over at Goodison Park in the meantime, and led the Toffees to a surprise 3-1 victory over Chelsea in his first game last weekend.
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