ציטירנדיקער פּירוש אויף דניאל 3:17

We believe that the Midrash is teaching that our great trio is well aware of the parallels between the situations. Chananiah, Mishael, and Azariah draw the courage and inspiration to enter the fire. The memory of the miraculous rescue of Avraham Avinu gives them the courage to tell Nevuchadneztar (Daniel 3:17) that Hashem has the power to rescue them from the fiery flames.

[Daniel 3:16] Shadrach, Meshach, and Abed-nego answered (עֲנוֹ - ʿAno): We have no need (לָֽא־חַשְׁחִין - la chashchin): [This means] We do not need (lo tzrichin anu) to answer you [in this matter]. Because our God whom we serve (עובדים - ovdim), acting powerfully (lit. 'like one who cleaves [or plows] and breaks through' - כמו פולח ובוקע) upon the earth, is able to save us from the fiery furnace. Also [He is able to save us] from your hand, if He wishes. And behold, if He does not save [us]... it shall be known to you [i.e., their resolve remains unchanged, as elaborated in v. 17-18].