Answer: First of all, I want you to know that there is nothing that prayer cannot handle. You may feel like the answer may take too long to come, but as long as you don’t give up, the answer will come. Remember that the heart of the king is in the hand of the Lord and He has what it takes to turn it whichever way He pleases (Proverbs 21:1). So I encourage you to commit your spouse to prayer.
An unteachable spirit is a product of pride. A proud person feels like they know it all and they have all the answers therefore, they never want to hear or think of an alternative. Pride is a destructive stronghold and you have to pray concerning that trait in your spouse so that stronghold can be broken. Ask God to release the spirit of humility upon them and help him/her see the error of their ways and correct their wrongdoings.
In all this, you have to be patient. Yes, you have to wear patience like a cloth because you will need a lot of it as you wait for the change you desire. Please note that as you wait, you can still get through to your spouse depending on how you approach them. Be wise with the way you manage yourself (words, attitude, etc) and situations in your home so peace can still reign.
A ‘my way or the highway’ mentality is very destructive in any home but it can be overcome depending on the process we follow. If you are someone who is unteachable or proud, please work on pruning that trait away. The Scriptures say that pride brings a person low and there is more hope for a fool than for a proud person (Prov. 26:12; Prov. 29:23). It’s not attractive and it will destroy your home if care is not taken.
If you happen to be in courtship with someone who has such traits, speak to them about it. If there are no improvements, do not get married otherwise that would be a huge prayer project in your marriage. The choice is yours! Please, if you feel you need further help to manage this situation, prayerfully seek it from a godly source you can speak to who will stir you in the right direction. May God send you answers of Peace!