The South Americans had gone eight matches without a win before beating Panama last month, but made it two wins from two at the Dubai Club Stadium.
Iraq made a slow start and fell behind to an Alexander Callens header in the 18th minute.
The defender did well to meet the ball from a corner, but the last touch appeared to come off Iraq's Mustafa Nadhim, with goalkeeper Jalal Hassan Hachim in no-man's land.
Peru's advantage was doubled eight minutes later when Carlos Zambrano powered home a header, but Iraq had plenty of opportunities to reduce the deficit after the break - most notably when Pedro Gallese denied Mohannad Abdul-Raheem from point-blank range.
Zambrano's afternoon took a turn for the worse when he saw red for a second bookable offence in the closing stages, and Gallese did well to tip over from Ali Faez Atiyah's resulting free-kick.
Peru face Qatar in the second match of their Middle Eastern double header on Tuesday, while Iraq's thoughts now turn to the Asian Games in South Korea.
