When one looks for a connection between the Haftora from Yeshayahu 54:1-55:5 and Parashat Noach with which it is associated, the most obvious is the turn of phrase appearing in 54:9 :
“For this is as the waters of Noach unto Me; for as I have Sworn that the waters of Noach should no more go over the earth, so have I Sworn that I would not Be Wroth with thee, nor Rebuke thee.”