The answer is no; God does not love Satan, and we ought not to either. Satan embodies everything that God cannot love because he is evil and unholy. God is unable to love Satan because of this. It is written that he is the adversary (1 Peter 5:8), the evil one (Matthew 6:13), the father of lies and a murderer (John 8:44), the accuser of the people of God (Revelation 12:10), the tempter (1 Thessalonians 3:5), proud, wicked, and violent (Isaiah 14:12-15), a deceiver (Acts 13:10), a schemer (Ephesians 6:11), a In point of fact, he is everything that God despises in the world. The hatred that has always existed in Satan's heart toward God has been proven and solidified; the verdict that has been rendered against him is definitive; and his demise is certain. The future plan that God has for Satan is described in Revelation 20, and love for Satan plays no part in that plan.
The instruction given to us by Jesus in Matthew 5:44 to love our enemies is intended to serve as a standard for our interactions with one another in this world. We have a love for God, and because people are made in God's image, we love them all, even our enemies. Angels are not made in God's image. We are never instructed to love the angels who are good, and we are most definitely never instructed to love the angels who are evil.
Because Satan embodies everything that is in opposition to the God we love, it is impossible for us to love Satan. Because holiness stands in direct opposition to sin, if we loved Satan it would be impossible for us not to hate God.
God has already decided that there will be no forgiveness for Satan; the cross reveals that we are the objects of the sacrificial love that God has for us. During the time that God was working to save mankind, He was also putting Satan "to open shame" (Colossians 2:15). The judgement that God will bring upon Satan will be an integral part of His great love for us.