Stratosphere circulation is important to interpret abundances of photo-chemically produced compounds like ozone that we aim to observe to assess habitability of exoplanets. We thus investigate a tidally locked ExoEarth scenario for TRAPPIST-1b, TRAPPIST-1d, Proxima Centauri b and GJ 667 C f with a simplified 3D atmosphere model and for different stratospheric wind breaking assumptions.These planets are representatives for different circulation regimes for orbital periods: P or b = 1 − 100 days. The circulation of exoplanets with P or b 25 days can be dominated by the standing tropical Rossby wave in the troposphere and also in the stratosphere: It leads to a strong equatorial eastward wind jet and to 'Anti-Brewer-Dobson'-circulation that confines air masses to the stratospheric equatorial region. Thus, the distribution of photo-chemically produced species and aerosols may be limited to an 'equatorial transport belt'. In contrast, planets with P or b > 25 days, like GJ 667 C f, exhibit efficient thermally driven circulation in the stratosphere that allows for a day side-wide distribution of air masses.The influence of the standing tropical Rossby waves on tidally locked ExoEarths with P or b 25 days can, however, be circumvented with deep stratospheric wind breaking aloneallowing for equator-to-pole transport like on Earth. For planets with 3 P or b 6 days, the extratropical Rossby wave acts as an additional safe-guard against the tropical Rossby wave in case of shallow wind breaking. Therefore, TRAPPIST-1d is less prone to have an equatorial transport belt in the stratosphere than Proxima Centauri b. Even our Earth model shows an equatorial wind jet, if stratosphere wind breaking is inefficient.