Trump's post comes after Republican Senator Tom Cotton on Wednesday wrote to Intel's board of directors, asking about Tan's ties to China, his investments in the country, and raised concerns about his time leading Cadence Design Systems, which had a Chinese military university as a customer.

This announcement comes as the Trump administration is also mulling over its approach to AI chip export restrictions.

Intel shares were under pressure Thursday after President Donald Trump called for the chipmaker's CEO to resign immediately.