He studied medicine and natural sciences at the Universities of Vienna and Strasbourg, earning his medical degree in 1894, and during the following year receiving his doctorate of philosophy.
In the mid-1890s with physiologist Nathan Zuntz (1847–1920) and others, he began investigations involving physiological effects on the body associated with air pressure and altitude change.
In 1910 Schrötter accompanied scientists Nathan Zuntz, Arnold Durig (1872–1961) and Joseph Barcroft (1872–1947) on an expedition to Tenerife, where he conducted research involving respiration and oxygenation at higher elevations.
After the war he was director of Malariaspitals in Wieselburg, and following his discharge from military service, he was in charge of the Alland Lungenheilanstalt (lung hospital founded by his father in 1898).
On 31 July 1901 meteorologists Arthur Berson (1859–1942) and Reinhard Süring (1866–1950) aboard the balloon Preussen, and equipped with portable compressed oxygen containers, were able to reach 10,800 meters above sea level.