Jesus asked us to love our enemy Mat 5:43-44:
43“You have heard that it was said, ‘Love your neighbor and hate your enemy.’ 44But I tell you, love your enemies and pray for those who persecute you,
So, should we love Satan?
Our command to love our enemies is intended for our human enemies, whom God also loves. God's love for us is shown through His sacrifice on the cross, and also in the statement that it is His desire that every man come to repentance.
Satan, on the other hand, cannot come to repentance, and there is no hope for his redemption.
A good answer with scripture references can be found here: http://www.westarkchurchofchrist.org/library/lovesatan.htm
The following is copied directly from the article:
In addition to the above, your question ignores the context.
The verse is in the midst of a series of "You have heard it said" statements that show that the Old Testament law is the bare minimum of what is required for righteousness, and in this example, the statement that we should love our enemy was "You have heard that it was said, 'Love your neighbor'" The essence of the verse is (like the surrounding verses) that the law says to do this, but the true requirement for perfect love and righteousness is to do this more perfect fulfillment of the law of love...
In the context of this verse, "thy neighbor" was clearly meant to denote human relationships. There is no reason, other than to set up a straw-man argument, to believe that "your enemy" is meant to be viewed in a different context.
I know that Satan is PURE EVIL. There is a balance between evil and good. To have pure good in your hearts, you cannot hate, and if we do have hate in our hearts toward Satan, we wouldn't have a 100 percent pure heart. I think it is more of a shame on you, shakes your head, no hope, no trust, disappointment in towards Satan. Why should I hate Satan? Why should I love Satan? I am dissapointed in Satan is all. That is how pure my heart is. God gave us wisdom to know better and use better judgment. Yes, Satan is a fool but, there is nothing anyone can do about it, not even God Himself because again, Satan is PURE EVIL.
If we consider that love is an action, I don't think it's possible to love Satan in the same way that we love our neighbor, and we cannot do so without hating God.
If we look at the parable of the Good Samaritan, we love our neighbor (our fellow human) by taking care of them when they are in need. Jesus several times shows love to other people by serving them and God calls us to do the same. In this sense, there is really no way we can "love" Satan because we cannot do anything for him as we can a human.
Also, we love others by praying for their salvation and telling others about Christ. But it is quite clear in the Bible that Satan's fate is already sealed, so there is nothing we can do for him in that regard.
Lastly, another way to "love" Satan is to basically serve his desires, but we cannot do that without disobeying God.
So, I don't think it is really possible to love Satan, because we cannot do so in the sense that we love other humans, and we cannot do so without going against God.