From Brian Eichelberger: On Sundays, we often come to church thinking we have something to offer to God as we're serving or leading, but really, God wants us to be needy and thirsty for him. "Satisfied in You" is inspired by Psalm 42 and a sermon I heard by John Piper that hits on this theme.
I was at a point in my life where I was taking a break from leading worship and God was revealing many of the idols I was finding my identity in. These idols we're good things in my life, but I had turned them into gods, which couldn't satisfy.
The song begins by following closely to Psalm 42 singing, "As the deer pants for water so my soul thirsts for you." The second verse then dives more into my personal response to the Psalm. A lot of times my tendency is to go into a depression looking into myself which only spirals me further down.
The song is meant to preach to myself and call me to remember the times when I experienced the glory and goodness of God which can help bounce me out of that vicious cycle. It's meant to get my eyes off of me and be satisfied in God alone.