General Acceptance:
* Acclimatization: Adapting to new customs and surroundings.
* Assimilation: Absorbing and adopting customs, often losing one's own in the process.
* Conformity: Complying with established customs and practices.
* Compliance: Following rules and customs, even if not fully embracing them.
* Acceptance: A broad term signifying agreement with or acknowledgment of customs.
More Specific:
* Respect: Acknowledging and valuing customs, even if not personally practicing them.
* Tolerance: Allowing for and accepting differences in customs without judgment.
* Open-mindedness: Willingness to consider and understand different customs.
For a more nuanced meaning, you might also use phrases like:
* Embracing customs
* Respecting cultural traditions
* Adapting to local norms
* Being open to different ways of life
The best word or phrase to use will depend on the specific context and the desired level of formality.