Texts in complex linetypes (e.g. in the standard AutoCAD "GAS" linetype; "PLYN" in the Czech version) is drawn in the direction the line was drawn. But arcs are drawn by AutoCAD always in the same direction, so texts always face inside arcs with their top side.
If you convert an arc to a polyline (_PEDIT), you can reverse its direction (see e.g. www.cadstudio.cz/download or RvrsLine utility, login: demoen/demoen) and then also the text changes its orientation (if you have the object property 'linetype generation' set to On).
Another way is to modify the linetype definition(the .LIN file) and use an absolute rotation angle instead of the commonly used relative angle (e.g. A=0.0, "text always horizontal", straight text) - but you will probably need to adjust the text alignment to fit the line gap.
The illustration shows the "PLYN" (GAS) linetype and its modified version with the absolute angle (the red version). The bottom arc is converted to a polyline and reversed: