To migrate your Zotero library to colwiz, you are simply required to input your Zotero log-in credentials in the import option. Here's how you get to it:
In the desktop library, click on 'import' (top-left).
In the resulting window, select 'Import Zotero'. You will now be asked to log in with your Zotero account and proceed.
Click 'Accept defaults' without altering any information in the next window.
For Importing notes from your Zotero library, Step 3 will be as follows
Click the 'Change Permissions' button and check mark the 'Allow notes access' ; then click 'Save Key' at the bottom.
The import process will now begin.
Once the process is complete, your Zotero library along with its PDFs and folder structure will be imported to colwiz. You can now find them under 'All publications'.
Note: Private/Public group data can not be imported from Zotero.