Speaking at a lunch on the fringes of the Republican National Convention in Cleveland, Farage said he would tour Europe this autumn.
He is expected to travel to Athens in September to help run a symposium about alternatives to membership of the euro.
Speaking to Politico, he said: “One of the joys of not continuing as party leader is having more time, so I will be traveling around Europe helping other independence movements, but I won’t be telling them how to vote.
“We should be celebrating a diverse Europe of independent nation states, and if I can do anything to help that, then I will.
Growing anti-EU sentiment has been seen in Austria, Finland, Denmark, Sweden, France and Italy in recent months.
Farage says if the fallout from Brexit continues, Ireland could be the next country to vote to leave the EU.
“I think there’s a well of Euroskeptic thinking in Ireland that is quite deep.
“I wouldn’t be in the least bit surprised if Ireland had its own referendum on leaving the EU.”
Farage said if Britain is still a member of the EU by 2020, he may get back into politics.
“If this was not to happen, I would find it irresistible to put my shoulder to the wheel again.
“By the 2020 election, if we haven’t got back our territorial fishing waters, haven’t got immigration numbers down, then you ain’t seen nothing yet in terms of disruption to British politics.”