Should you apologize when you have wronged someone? Yes.
Should you apologize when someone feels you have wronged them? Yes.
Why is an apology so important? It's important because it begins the healing process to mend a relationship. A sincere apology expresses regret, takes responsibility and makes restitution, if at all possible. Most importantly, an apology opens the door of forgiveness.
If an apology never comes, can you still forgive someone? Yes. Should you still forgive someone? Yes. Forgiveness is not about letting someone "off the hook" for their actions. Forgiveness is about your own personal healing.
As believers, we should be the first to apologize whether we're right or wrong. We should be the first to show the love of Christ and sometimes that is by apologizing when a situation has gone awry.
You know, as believers, how can we not forgive others who have wronged us when we have wronged our Lord and are forgiven again and again. Surely, we are not better than our holy God?
I'm convinced that all God's commands for His children to do or not to do are for our benefit. So when He tells us to forgive those who trespass against us, it's for our benefit. Not only do we have the assurance that we will be forgiven to the measure we forgive others, but we are told that forgiveness removes a root of bitterness.
When we let bitterness get a hold on us, it's our hearts that grow hard. It's us who suffer in anger and stress. It's our body and mind that writhes in pain over unforgiveness. Yes, forgiveness is what is requested by the person who apologizes, but both parties need it.
Forgiveness does not remove the pain of an offense, but it releases you from bitterness and allows you to find peace.
So if you find yourself in a "situation" where an apology is needed, sincerely apologize. If you find yourself offended, with or with an apology, forgive. It will bring you release.