You can do whatever you wish with shares as long as the parties agree.

If you have voting and non-voting classes of shares you can issue these for the cash investment.

The question is... why would he? Normally non-voting shares have certain other characteristics like fixed rates of return or preference in the case of company dissolution.

Other things you may consider would be issuing a debenture for the new money. This is a debt instrument so there would be no shares sold.

You could issue a convertible debenture whereby the debt becomes equity at a certain share price in certain events, such as the sale of the company.

It's up to your imagination as long as the other party agrees.

Here are two videos I made that touch on this topic, one about how to use shares in deal making and another about using shares to raise capital.

https://youtu.be/1EjKjSAd1F8

https://youtu.be/5h_ouZ-sUoU

Just arrange a call if you'd like to discuss your specific situation.

dave