Last year Ineos purchased Swiss club FC Lausanne-Sport, which is based near to its offices in Rolle in the Canton of Vaud.
Last month's Sunday Times rich list valued Ratcliffe's wealth at £21.05bn - more than double Abramovich's £9.3bn valuation.
Abramovich bought Chelsea in 2003, with five Premier League titles, five FA Cups, three EFL Cups, the Champions League and the Europa League being won since then.
Abramovich has had problems with a United Kingdom visa and also shelved the plans for an expansion of Stamford Bridge recently.
It is understood that the 51-year-old is not interested in selling the club.
Known as a supporter of the United Kingdom leaving the EU, Ratcliffe has had his own run-ins with the British Government.
Ratcliffe is passionate about sport and believes primary schools should be legally required to make children run a daily mile as a means of combatting the obesity crisis.
Ratcliffe's plans to buy Chelsea might not see the light of the day as his offer was quickly discarded, with the Chelsea owner stating he had no intention to sell the club.
Mr Ratcliffe's spokesman said: 'We can not comment on rumour and speculation'.