Albert Barnes Commentary Romans 16:20

"And the God of peace shall bruise Satan under your feet shortly. The grace of our Lord Jesus Christ be with you." — Romans 16:20 (ASV)

And the God of peace. The God who promotes peace (Romans 15:33).

Shall bruise. The language here refers to the prediction in Genesis 3:15. It here means to subdue, to gain the victory over. It denotes Paul's confidence that they would gain the victory and would be able to overcome all the schemes of those who were endeavoring to sow discord and contention among them.

Satan. The word Satan is Hebrew, meaning, originally, an accuser, a slanderer, and then an enemy. It is given to the prince of evil spirits because of his enmity to God and humanity. He is here regarded as the author of all attempts to promote discord in the church, whoever made those attempts. Hence, those who attempt to produce divisions are called his ministers (2 Corinthians 11:15). God would disappoint their malignant purposes and promote the prevalence of peace.

The grace. Favor, mercy, etc. The Lord Jesus is the Prince of Peace (Isaiah 9:6; John 14:27); and this expression is a prayer to him, or an earnest wish expressed, that the design of his coming might be accomplished in promoting the prevalence of order and peace. Compare to 1 Corinthians 16:23; Revelation 22:21.