Tensions between the two nations have escalated in recent weeks following a spate of military posturing and hostile rhetoric from Pyongyang and Seoul.
Having met with the South Korean football association and official partners on a visit to the country, Infantino has spoken of his desire to "use the power of football" to repair relations in the region.
"We should bring everyone together around a football pitch... I'm ready to help and assist in whatever way is necessary," he said.
"Sometimes imagination can come true. Sometimes dreams can come true. These things can become a reality."
Infantino travels to Thailand on Friday for the celebration of the 100th anniversary of the country's football association.