This little cable will sort you right out! It has a Zero-sized (22-pin) connection on one side, and the usual Camera Module (15-pin) connection on the other - allowing you to swap your Camera Module's cable for this one and plug it straight into your Raspberry Pi Zero.
It's 15cm end to end and as flexible and strong as you'll ever need, this will be perfect for your miniature camera project!
Another option is to grab one of our ZeroCam modules which are designed to work directly with the Raspberry Pi Zero's smaller camera connector.
Raspberry Pi Zero & Camera module not included