It is a confirmed Sunnah for men to pronounce the Adhan and Iqamah for prayer whether one is praying alone or in congregation.
Sheikh Sayyed Sabiq states in his well-known book, Fiqh Us-Sunnah: There are three ways to perform the Iqamah:
1- Saying the first takbir four times and everything else twice, with the exception of the last statement of la ilaha illal-lah. Abu Mahdhu
rah said that the Prophet (peace and blessings be upon him) taught him the Iqamah consisting of seventeen phrases: Allahu akbar (4 times), ashhadu alla ilaha illal-lah (twice), ashhadu anna Muhammad-an Rasulullah (twice), haya `alas-salah (twice), haya `alal-falah (twice), qad qamatus-salah (twice), Allahu akbar, Allahu akbar, La ilaha illal-lah.
2- To say the beginning and ending takbir, and the phrase qad qamatus-salah twice. Everything else is to be said once, making eleven phrases in all. This is based on the hadith reported by `Abdullah ibn Zayd: “When you stand for the prayer, say, “Allahu akbar, Allahu akbar. Ashhadu alla illaha illal-lah, ashhadu anna Muhammad-an Rasulullah. Haya `alas-salah, haya `alal-falah. Qad qamatus-salah, qad qamatis-salah. Allahu akbar, Allahu akbar. La illaha illal-lah.”
3- The same as in the preceding, but Qad qamatus-salah is said only once, making a total of ten phrases. Imam Malik chose this way, because he found the people of Madinah performing it thus. But Ibn al-Qayyim said, “It is not proven that the Messenger of Allah ever said ‘Qad qamatus-salah’ only once.” Ibn `Abdul-Barr is of the view that, “In every case, it is said twice.”