All the creatures of the world praise and glorify God. The seven skies, the earth and all of their inhabitants are glorifying God, the Exalted. Animals including roosters are not an exception. Therefore, the fact that all species and creatures glorify and praise God is one of the accepted and reliable principles of the Quran.
Based on some Quranic verses, all creatures of the world declare the praises and glory of Allah. The Holy Quran says, "All that is in the heavens and all that is in the earth glorifieth Allah, the Sovereign Lord, the Holy One, the Mighty, the Wise."
In another verse, the Quran says, "The seven heavens declare His glory and the earth (too), and those who are in them; and there is not a single thing but glorifies Him with His praise, but you do not understand their glorification; surely He is Forbearing, Forgiving."
Animals including roosters are not an exception to this rule. In fact, in some traditions, special features have been mentioned for roosters. According to these narrations, a rooster's crow is its recital and supplication.
Luqman is said to have advised his son as such:
"یا بنىّ لا تکن اعجز من هذا الدّیک یصوت بالاسحار و انت نائم علی فراشک"
“My son, do not be weaker than the rooster which crows at dawn while you are sleeping in your bed.”
In some traditions, the roosters’ crowing has been translated as “roosters’ utterance”. The Imam (a.s.) says, “The rooster utters: ‘Remember God, O’ the neglectful ones’.”
Thus, it is an indisputable and accepted fact that all creatures praise and glorify God, the Almighty.
 - Al-Jumu'ah: 1
 - Al-Isra: 44
 - Vide: Kulayni, Muhammad bin Ya'qub, Al-Kafi, vol.6, p.549, Dar al-Kutub al-Islamiyah, Tehran, 1986.
 - Husseini Shah Abdul Azimi, Hussein bin Ahmed, Tafsir Ithna ‘Ashari, vol.2, p.38, Meeqat Publication, Tehran, 1984.
 - Majlesi, Muhammad Baqir, Behar al-Anwar, Vol.14, p.412, Dar al-Wafa, Beirut,1404 A.H.