Funding in private company

Check your AOA is there any restriction on sale of shares by existing Shareholders.

1st Scenario:-

The Undisputed 6 shareholders can transfer their shares to new investor. The 7th shareholder either may continue or sale the shares are up to him.   

2nd Scenario:-

It is based on the special resolution and majority directors assent. If the majority shareholders and Directors agreed, then the company can accept the funds by way of private placement though dissent given by the disinterested shareholder.