The 27-year-old, who played a part in 12 goals across his 30 La Liga appearances last season, recently emerged as a rumoured target for the Blues.
Spanish publication Marca claims that Chelsea have been informed about the Spain international's £35m release clause, which Sevilla are demanding be met in full.
Chelsea boss Antonio Conte is said to be exploring other options, however, and is even prepared to let one of Batshuayi or Zouma head the opposite way in a part-exchange deal.
Both players have failed to break into regular contention for the Blues and are likely to struggle for playing time again next term.
Batshuayi has been linked with a loan move to West Ham United and Zouma to an array of Premier League clubs, but Chelsea are apparently open to waving goodbye for good if it means brokering a deal for Vitolo.