The 28-year-old Ranocchia has played nine times for Inter this season and has fallen out of favour with new manager Stefano Pioli.
The tough-tackling defender will be available for selection, subject to international clearance, when Hull, who are second bottom in the league table, two points away from safety after 22 games, travel to face sixth-placed Manchester United on Wednesday.
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(Reporting by Shravanth Vijayakumar in Bengaluru, editing by Ed Osmond)
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