Alexander was highly praised by Gregory Nazianzus (Or. 27) and Epiphanius of Cyprus (adv. Haer. lxix. 10). Theodoret called him an "apostolic" bishop (Hist. i. 3, cf. Phil. 12). In the commencement of the Arian troubles the co-operation of Alexander was specially requested by Alexander of Alexandria (Theod. i. 4).† He was present at the First Council of Nicaea (Soz. ii. 29) although some sources noted that the 117 years old bishop Metrophanes of Constantinople attended the council in Alexander's place.
The Roman emperorConstantine the Great commanded that Arius should be received to communion after he was induced by the Eusebians (Athan.Ep. ad Serap.; Rufinus, Hist. i.) and deceived by the equivocations of Arius (Socr. i. 37). Alexander, though threatened by the Eusebians with deposition and banishment, persisted in his refusal to admit the archheretic to communion, and shut himself up in the church of Irene for prayer in this extremity. Alexander did not long survive Arius (Socr. ii. 6 ; Theod. i. 19). On his deathbed he was said to have designated Paulus as his successor, and warned his clergy against the speciousness of Macedonius.†
Sources
† This article uses text from [http://www.ccel.org/w/wace/biodict/htm/TOC.htm A Dictionary of Christian Biography and Literature to the End of the Sixth Century A.D., with an Account of the Principal Sects and Heresies (http://www.ccel.org/w/wace/biodict/htm/iii.i.xix.htm) by Henry Wace.]
In the commencement of the Arian troubles the co-operation of Alexander was specially requested by Alexander of Alexandria (Theodoret, i.
Alexander, though threatened by the Eusebians with deposition and banishment, persisted in his refusal to admit Arius to communion, and shut himself up in the church of Irene for prayer in this extremity.
In a letter to bishopAlexander of Constantinople, Alexander, Patriarch of Alexandria wrote that Arius derived his heresy from Lucian.
Then he wrote (the letters are extant) to Alexander of Constantinople and Eusebius of Nicomedia (where the emperor was then residing), detailing the errors into which Arius had fallen, and complaining of the danger he presented to the Christian church.
When Alexander died at Alexandria in 327, the election of Athanasius in his place was only secured in the face of violent opposition from the Arianizing faction.