The notion of "ideal worker" necessitates being available at the discretion of the employer in terms of time. We embed our study in the context of gender. Discretion over working time, meanwhile, is widely considered one of the cornerstones of work-life balance and job satisfaction. We study the pecuniary and social valuation of the autonomy to decide about working schedules. We compare employee-initiated and employer-initiated request for a change towards more flexible working time arrangement. We provide plausibly causal evidence that an \emph{ideal worker} indeed ought to be available, but requesting this availability should be reflected in wage rise on average. There appears to be no penalty to employee-initiated request for flexibility and this result is common for men and women.