I indeed found a way of checking the maximum skewness of the surface cells after generating the volume mesh. In Fluent Meshing I used the command
`objects/summary yes`
and then chose the mesh object for which I wanted to know the maximum skewness.
Also, one can click with the mouse right button on "Face Zone Labels" in Outline View -> Mesh Objects -> (where is the name of the mesh object) and choose "Summary" to get a summary on the maximum skewness.