You can use regular expressions¹ with the regexp filter to match or extract patterns in text:

{% set text = "Your Amazon Order #Z-1234-5678-9 has shipped!" %}
{% set order_id = text|regexp("/Amazon Order #([A-Z0-9\-]+)/", 1) %}
Amazon Order #: {{order_id}}

Amazon Order #: Z-1234-5678-9

References