John Calvin Commentary Hebrews 13:19

"And I exhort [you] the more exceedingly to do this, that I may be restored to you the sooner." — Hebrews 13:19 (ASV)

But I urge you, etc. He now adds another argument: that the prayers they would make for him would be profitable to them all as well as to himself individually, as though he had said, “I am not so much considering my own benefit as the benefit of you all; for being restored to you would be the common good of all.”

From this, it can perhaps be conjectured that the author of this Epistle was either beset with troubles or detained by the fear of persecution, so that he was unable to appear among those to whom he was writing. It might, however, be that he spoke this way, even though he was free and at liberty, for he regarded man’s steps as being in God’s hand; and this appears probable from the end of the Epistle.