Most parents don't resist help because they don't need it. They resist because accepting help can feel like giving something up — privacy, routine, or the sense of being the capable one. Understanding that changes how the conversation should go.
Start earlier than feels necessary. The best time to talk about support is before there's a crisis, when it's a conversation about the future rather than a reaction to a scare. It gives everyone room to think instead of decide under pressure.
Lead with independence, not decline. “This would let you stay in your own home longer” lands very differently than “you can't manage this anymore.” The goal you're describing is the same one they want.
Propose one small thing. A hand with groceries or the paperwork is easier to say yes to than a full care plan. Small yeses build trust, and trust makes the bigger conversations easier later.
Let them choose. Being part of picking who helps, and with what, keeps the sense of control where it belongs — with them.
And if the conversation keeps stalling, a neutral third party can help. It's often easier for a parent to talk options with a professional than to feel managed by their own children. That's a big part of what a health navigator is for.