Re: HP OfficeJet6968 Printer; the CYAN (Blue) ink will not print

Welcome to the HP Support Community.

Do you have any other Cyan cartridge with you just to check if it's not a defective new ink cartridge? If no, do try and align the Printhead:

1. Load plain white paper in the input tray.

2. From the printer control panel, open the Setup  menu.

3. Open the Printer Maintenance or Tools menu.

4. Touch Align Printhead.

   An alignment page prints.

5. Wait until the page is out of the printer before you remove it.

If the issue persists, please perform the remaining steps from this document: https://support.hp.com/us-en/product/hp-officejet-pro-6960-all-in-one-printer-series/8289579/model/11161242/document/c05076934

If the issue still pesrists, I recommend you to contact the HP Support Team as this could be a hardware issue.

Link: www.hp.com/contacthp/

Note:  Select the country accordingly to get the contact details for support.

If you do have another cyan ink cartridge, do check with that and see if you're able to print in cyan.

Let me know if this helps.

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Thanks!

Have a great day!