1. First of all, it needs to be clear that in the relationship between the parent company and the subsidiary company, both of them are civil subjects with independent legal personality, and the parent company becomes the shareholder of the subsidiary company because it contributes capital to the subsidiary company and holds the equity of the subsidiary company. Therefore, if the parent company transfers the equity of its subsidiary to its subsidiary, and the subsidiary agrees to the transferee, it constitutes the company's repurchase of its shares as stipulated in the Company Law.
2. According to Article 142 of the Company Law, a company may not buy back its shares, except in case of capital reduction, merger with other companies holding shares of the company, using shares for employee stock ownership plan or equity incentive, requiring the company to purchase its shares because shareholders disagree with the resolution of merger or division of the company made by the shareholders' meeting, converting shares into shares issued by listed companies, and special circumstances necessary for listed companies to safeguard company value and shareholders' rights and interests.
3. Based on the above two points, if the subsidiary does not have one of the exceptions stipulated in Article 142 of the Company Law, the subsidiary cannot sign an equity transfer contract with the parent company to buy back the equity of the subsidiary held by the parent company. In this case, the parent-subsidiary relationship between the parent company and the subsidiary has naturally not changed. However, if a subsidiary company has one of the exceptions stipulated in Article 142 of the Company Law, the subsidiary company may buy back the equity of the subsidiary company held by the parent company, thus making the parent company withdraw from the subsidiary company. After the shares held by the parent company are repurchased by the subsidiary company and withdrawn from the subsidiary company, the parent-subsidiary relationship that existed before between the parent company and the subsidiary company certainly no longer exists.