At a speech at a UN-sponsored conference on justice and reconciliation on July 22, al-Mashhadani, a conservative Islamist, said that Iraq had little use for foreign advice.
Al-Mashhadani is a member of the main Sunni Arab bloc in parliament, which is a member of the government.
The launch of a number of high-profile investigations into alleged abuses has in recent months thrown a sharper focus on the deaths of Iraqi civilians at the hands of U.S. forces.
In the latest incident, on July 21, U.S. troops killed at least three civilians -- two women and a child -- in a raid in the city of Ba'qubah, northeast of the capital, Baghdad.
The U.S. military expressed regret for the deaths.