A man said: Messenger of Allah, the mu'adhdhins excel us. The Messenger of Allah ﷺ said: Say (the same words) as they say, and when you come to the end, make a petition and that will be granted to you. (Using translation from Abū Dāʾūd 524)   

يَا رَسُولَ اللهِ إِنَّ الْمُؤَذِّنِينَ يَفْضُلُونَنَا فَقَالَ رَسُولُ اللهِ ﷺ قُلْ كَمَا يَقُولُونَ فَإِذَا انْتَهَيْتَ فَسَلْ تُعْطَ  

The supplication made between the adhan and the iqamah is not rejected. (Using translation from Abū Dāʾūd 521)   

أَنَّهُ قَالَ قَالَ رَسُولُ اللهِ ﷺ لَا يُرَدُّ الدُّعَاءُ بَيْنَ الْأَذَانِ وَالْإِقَامَةِ  

[Machine] He informed him that the Messenger of Allah ﷺ said, "There are two things that are not rejected, or rarely rejected: supplication when the call for prayer is made, and supplication during times of distress, when people are fighting against each other." Al-Zam'mi raised it, and Imam Malik confirmed it.  

أَخْبَرَهُ أَنَّ رَسُولَ اللهِ ﷺ قَالَ اثْنَتَانِ لَا تُرَدَّانِ أَوْ قَلَّمَا تُرَدَّانِ الدُّعَاءُ عِنْدَ النِّدَاءِ وَعِنْدَ الْبَأْسِ حِينَ يُلْحِمُ بَعْضُهُ بَعْضًا رَفَعَهُ الزَّمْعِيُّ وَوَقَفَهُ مَالِكُ بْنُ أَنَسٍ الْإِمَامُ  

[Machine] Two hours in which the gates of heaven are opened, and a supplicant who is not responded to by his request is rare, with the presence of the caller through prayer and lining up in the way of Allah.  

سَاعَتَانِ تُفْتَحُ فِيهِمَا أَبْوَابُ السَّمَاءِ وَقَلَّ دَاعٍ تُرَدُّ عَلَيْهِ دَعْوَتُهُ حَضْرَةُ النِّدَاءِ بِالصَّلَاةِ وَالصَّفُّ فِي سَبِيلِ اللهِ