Source: Tafsir al-Ahlam al-Kabir (Ibn Sirin)
The hat (Qalansuwa) in a dream indicates a man's superior, his authority, or his wife. Its newness and beauty indicate the high status of the superior or the beauty of the wife. Its falling indicates separation from the superior or wife.
Source: Ta'tir al-Anam fi Ta'bir al-Manam (Al-Nabulsi)
The hat indicates travel, marriage, or authority. Whoever wears it will get what he seeks. If it is dirty, it is worry and grief.
Source: Al-Isharat fi Ilm al-Ibarat (Ibn Shahin)
The hat is interpreted as prestige and position. A white one is religion and righteousness, green is martyrdom, and black is leadership and wealth.