It’s entirely dependent on the hospital, clinic, or individual doctor to decide what requirements are in place. It should be illegal to require a husband’s consent. Shop around for a new doctor when possible. I agree here. After having my son I spoke to my OBVYN about getting sterilized. She didn’t look to my husband, she spoke to ME about MY choices. Though to be fair, when she’d asked how long we waited before having sex after having my baby, she gave him a look when I said 4 weeks. I had to correct her that it was ME wanting it.
However, they should, like abortions, be considered an essential part of women’s health care as both can be elective or medically necessary, and both impact the quality of life of the woman. If men get angry their wife wants or needs a hysterectomy (or abortion) for medical reasons as I’m assuming they wouldn’t marry without having previously discussed procreation plans, he needs to either decide it’s a deal-breaker and leave the marriage or man the fuck up and deals with infertility the way millions of women have done and will continue to do for centuries. There’s always a risk in a marriage that you won’t be able to conceive.