Schmidt made the statement commenting rumors after last week's change of the leadership of Google's Android Mobile unit. Android architect Andy Rubin moved to an undefined role at the company, while Sundar Pichai, the executive overseeing its Chrome web browser and applications took over Rubin's responsibilities.
Under Rubin, Android surged ahead of Apple's software to command 70 percent of the operating systems on smartphones. Pichai joined Google in 2004 and led the effort to roll out laptop computers that use the Chrome operating system.
Merging the two OS could make sense, as it would help Google boost the popularity of its Chromebooks and bring the same services and apps on all computing platforms -- smartphones, tablets and smart TVs. However, the Chrome OS is using apps running on the cloud while the Android apps mainly run on the devices.
Schmidt also said any rumor that he may be leaving Google is "completely false."