Reformed View of Titus 2:11 and Irresistible Grace Titus 2:11 says


  For the grace of God that bringeth salvation hath appeared to all men...


How does this fit with Irresistible Grace? From my understanding of Irresistible Grace, when God's grace that brings salvation appears to someone, they cannot resist and they are saved (whether against their will, or that the are unable to resist and their will is changed so it is their will, may not be relevant)

I have consulted ESV Global Commentary, Matthew Henry Commentary, and Calvin's commentary for the verse, but have found nothing concerning this doctrine.

How is this passage understood along with Irresistible Grace?
The defense of Titus 2:11 for the Calvinist doctrine of Irresistible Grace comes from the interpretation of the words in the verse "Grace of God."

John MacArthur,  a prominent Calvinist pastor and teacher writes this in his "John MacArthur Study Bible" commentary of Titus 2:11(NASB)- 


  Titus 2:11 - "For the grace of God has appeared, bringing salvation to all men.."
  
  2:11 ...grace of God. Not simply the divine attribute of grace,
  but Jesus Christ Himself, grace incarnate, God's supremely gracious gift to fallen mankind.


OP assumes "the grace of God" is talking about God's divine attribute of grace, which indeed is the driving factor behind the doctrine of "Irresistible Grace," but is not what this verse is talking about according to the Calvinist. Calvinists do not hold to the position that it is Christ Himself who is performing the pulling towards God, but, in the words of John Calvin, "...it is a powerful impulse of the Holy Spirit..."

In conclusion, to the Calvinist, this verse is not about Irresistible Grace at all; rather, it deals with soteriological truths.