Zaid Alsalami, Shaykh Dr Zaid Alsalami is an Iraqi born scholar, raised in Australia. He obtained a BA from Al-Mustafa University, Qom, and an MA from the Islamic College in London. He also obtained a PhD from... Answered 2 months ago

Bismihi ta'ala

It is highly recommended for both men and women to recite Adhan and Iqamah, especially if they are praying on their own, and not in jama'ah. 

Of course, the difference is that a female should recite in a low voice in the presence of a non-mahram. As for performing jama'ah prayers, of course a female can do loud Adhan and a female can lead jama'ah prayers if they are all women. 

And Allah knows best