Can extrasolar planets orbit stars in binary star systems?

Yes, extrasolar planets can exist within binary star systems. The formation of double or multiple star systems and the formation of planetary systems are considered different facets of the same natural process of star formation.1

In many binary systems, the components are separated by distances comparable to the scale of our own solar system—roughly 10 astronomical units—and research indicates that planetary systems can form in these environments. While detecting these planets is challenging due to the brightness of the host stars, astronomers utilize techniques such as measuring periodic changes in a star's radial velocity or observing transits to confirm their presence. Since the 1990s, thousands of extrasolar planets have been confirmed, demonstrating that planets are a common by-product of the star-formation process.12