The global supply chain crisis caused by COVID-19 and the trend of “anti-globalization” continuously impact international trade. As one of the central processing centers of global primary products, China’s forest product enterprises import raw materials and export manufactured products, which are vulnerable to the worldwide supply chain crisis. This article reviews research on the influence of the pandemic and the Sino–US trade war on the international trade of wooden products and China’s forestry enterprises that import raw timber materials and export wooden products. Furthermore, with the analysis of trade data, we found that China’s forest product enterprises are facing a shortage of wood materials and rising import prices. Regarding export, they face the problems of increased trade costs and fluctuating product demand. Moreover, the influence of the global supply chain crisis causes China’s trade diversion effect. This article comprehensively analyzes how the global supply chain crisis affects wood-based product enterprises and offers suggestions for further developing China’s forestry enterprises.