"The game is strong, interest is unprecedented, but we live in a dangerous world as far as safety and security is concerned," Mani said in Nairobi on Monday night.
He cited South Africa's decision not to tour Pakistan last year and the refusal by New Zealand and England to play their 2003 World Cup matches in Kenya and Zimbabwe.
Mani, a Pakistani national, was speaking at a dinner to welcome him on the Kenya leg of his whirlwind tour of Africa since being elected ICC chief last June. The tour has already taken him through South Africa and Zimbabwe.
Mani stressed the need to strengthen the cultural diversity that exists within international cricket.
He pointed out the success of the current Test series between India and Pakistan which has been watched by over one billion TV viewers.
The series, played on home and away basis, marks the first time the Asian giants of cricket have played each other in a Test in 14 years.