Inter recently signed Manchester United defender Nemanja Vidic but have been linked with a number of other English Premier League players including Sagna, Manchester United defender Patrice Evra, Manchester City forward Edin Dzeko and Chelsea striker Fernando Torres.
Thohir in recent days said he had been awaiting feedback from Arsenal regarding an offer to Sagna, who has made over 200 appearances for Arsenal since joining the club in 2007.
Indonesian Thohir flew in to Milan from Jakarta on Wednesday ahead of Inter’s home game against Udinese on Thursday and told reporters: “Sagna has decided to remain in the Premier League.”
Asked about strikers Dzeko and Torres, Thohir said: “For sure, the club could use a player of their calibre.”
Inter, who missed out on Europe this season, sit sixth in Italy’s Serie A just one place behind Parma who occupy the first available Europa League qualifying spot.
Leaders Juventus are in action Wednesday when they host Parma looking to restore their 14-point lead over Roma, who snatched a 2-1 win over Torino on Tuesday.