EZ Exporter supports exporting the Sales Channel Names at the product level and variant level when creating a Shopify product CSV/Excel export.

Simply select the fields below under the Fields section of the Data Settings to include them:

• resource_publications.publication.channels.name (Product Publications Channel Names)
• variants.resource_publications.publication.channels.name (Variant Publications Channel Names)

The output will look something like this by default (can be reformatted using Calculated Fields):

You can also filter by these fields under the Custom Filters section in the Data Settings in case you'd like to generate reports of products/variants that are published/scheduled to be published to specific sales channels.