Manchester United are also claimed to be interested in the England international, who spent the 2016-17 campaign on loan at Torino.
Hart is a good goalkeeper, but the 30-year-old did not have a great 2016-17 campaign on a personal level for Torino.
The Englishman looked unsure on many occasions and made costly errors from time to time, and one can understand why City manager Pep Guardiola does not fancy him.
Hart would be a decent signing for West Ham, but only at the right price. The English is prone to making mistakes, but he does have extensive experience of playing in the Premier League.
According to The Telegraph, Hart is on £110,000-a-week at City. Could West Ham afford the goalkeeper’s salary? Maybe a loan deal could suit all three parties.