The Book of Ephesians is addressed to all God's people, not just to men. It is addressed to Jew and Gentile, slave and free, child and adult, women and men.
This was not lost on the women of that day. They taught, preached, and worked side by side with men in telling the saving Gospel of Jesus the Messiah to all who would listen.
Take a few minutes and read Ephesians carefully, slowly, with thought. The magnificence of the Gospel is set forth clearly. Each person needs nothing besides Christ. Each is part of the body of Christ. There is one body, one Spirit, one hope, one Lord, one faith, one baptism, one God and Father of all.
Ephesians 3:10-12 His, (God's) intent was that now, through the church, the manifold wisdom of God should be made known to the rulers and authorities in the heavenly realms, according to his eternal purpose that he accomplished in Christ Jesus our Lord. In him and through faith in him we may approach God with freedom and confidence.
Not only men can approach God with freedom and confidence, but each Christian, slave or free, Gentile or Jew, man or woman, child or adult. Each Christian is made new in Christ, and Paul exhorts each to take hold of what it means to be a child of light, in unity with every other Christian, within whom God's power is now at work.
Ephesians 4:22-24 You were taught, with regard to your former way of life, to put off your old self, which is being corrupted by its deceitful desires; to be made new in the attitude of your minds; and to put on the new self, created to be like God in true righteousness and holiness.
After Paul talks more about how a Christian should strive to be kind, compassionate, loving and forgiving, etc. he says: (Ephesians 5:21) "Submit to one another out of reverence for Christ."
This verse is often forgotten in the reading of the following verses. My Dad explained it this way: He and his congregation were building a church in evenings and on weekends. Whoever knew about cement work - that was the person all the rest listened to when they were doing cement work; whoever were the best carpenters - were the ones the rest listened to when they were doing carpentry work; etc.
God gives different gifts to His children, and we should submit to one another accordingly.
Paul goes on to talk about how wives should submit to their husbands and respect them, but not to the point of overthrowing their status as a child of God, able to approach God with freedom and confidence, forgiven as much as any man; a new creation, in Christ, as much as any man. Paul also talks about how husbands should love their wives, but not to the point of following an unbelieving wife into unbelief. Paul is not refuting or going back on all he has said before about each person, in Christ, now, a child of light. He is not breaking the Gospel by attaching a law to it for either the wife or the husband. The Gospel stands free to each and every person. Rather, Paul is making a comparison about the profound mystery of Christ becoming one with His Church as a man and woman become one in marriage.
It is a great travesty that Ephesians 5:22-33 is so often misused, after all the beauty and clarity of the preceding chapters and verses, to take away the equal freedom of Christian women with men, in Christ, and saddle them with the false idea and man-made rule that women cannot teach or preach in our churches or cannot teach men in Bible Classes or Sunday Schools.
The Holy Spirit often gives teaching and preaching and leadership gifts to women, (Romans 12:3-8). Such women should be listened to, out of reverence for Christ.