The Marseille man has been linked with a £30million move to London, with Crystal Palace, West Ham and Tottenham also reportedly interested.
Batshuayi, who scored within seconds of coming on in Belgium's Euro 2016 last-16 defeat of Hungary on Sunday, followed the official accounts for Chelsea and the Premier League on Twitter, fuelling speculation of an imminent move to Stamford Bridge.
Should he move to Chelsea, who are in the market for at least one striker following the departures of loanees Radamel Falcao and Alexandre Pato, Batshuayi would become incoming head coach Antonio Conte's first signing.
Conte is currently in charge of Italy at Euro 2016 and joins Chelsea once their participation in the tournament concludes.
The Blues finished 10th last season and will not play in European competition next term.
Source : PA
Source: PA