The ICRC "condemns in the strongest possible terms the use of chemical weapons during fighting around the Iraqi city of Mosul", it said in a statement.
The organization said it did not know which side used the chemical agents that caused blisters, redness in the eyes, irritation, vomiting, and coughing.
The United States has warned that ISIS could use weapons containing sulfur mustard agents to repel the offensive on the northern Iraqi city.
ICRC medical teams were supporting local medical teams treating the seven patients, who were admitted over the past two days to Rozhawa hospital in Erbil, east of Mosul, the organization said.
Iraqi forces captured the eastern side of Mosul in January after 100 days of fighting and launched their attack on the districts that lie west of the Tigris river on February 19.
Defeating ISIS in Mosul would crush the Iraqi wing of the caliphate declared by the group's leader, Abu Bakr Al-Baghdadi, in 2014, over parts of Iraq and Syria.