Man Utd and Liverpool have both played in recent ICC tournaments with Yankee Stadium used as a venue
Gunners chief executive Ivan Gazidis was spotted with bosses from Manchester United, Chelsea, Liverpool and Manchester City leaving London's Dorchester Hotel.
"We are strongly opposed to any breakaway," An Arsenal spokesman said.
"Not Arsenal, nor any clubs at the meeting, are seeking changes to the Premier League and European landscape and no conversations surrounding displacing the Premier League or starting a European Super League took place.
"Discussions were primarily around the ICC and formats of European competitions that would compliment the existing Premier League."
The ICC is a tournament that has run during each of the last three pre-seasons.
It expanded last year from its USA roots to cover Australia and China.
Fifteen teams competed in the competition last summer, with Premier League sides Manchester United and Chelsea playing in the USA.
Manchester City, meanwhile, competed in Australia in friendlies against Real Madrid and Roma.
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