Can the iphone 14 pro max purchased online in the US be used readily internationally?

Without more detail, my best suggestion is to check the link below. If it does not answer your questions regarding specific countries, there is a link at the bottom of the page to contact Apple Support.

Use eSIM while traveling abroad with your iPhone - Apple Support

Pretty much anywhere eSim is supported. If a physical sim card is required, don't buy the phone in the US. And if you don't live in the US, be advised iPhone warranty is not international. iPhone warranty is generally limited to the country of purchase.

The international carrier will need to support eSIM, or you'll need to have a roaming plan from an USA one. You'll also likely get denied warranty service on it outside the USA.

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