"cannot be satisfactorily" is correct and can absolutely be used in written English.
For example, you could use it in a sentence such as: "The problem cannot be satisfactorily solved without additional information."
The doctors remark: "These prostheses [which are 13 millimeters in diameter] are somewhat bulky and cannot be satisfactorily crammed into relatively small organs.
The F.D.A. approval is for use of Metaglip, along with diet and exercise, as initial drug therapy for people with Type 2 diabetes that cannot be satisfactorily managed with diet and exercise alone, the company said.
Some doping methods simply cannot be satisfactorily detected by testing an athlete's urine (and for reasons, it says, of practicality and religious scruple the IOC has so far been reluctant to require blood-testing).
Most religious authorities restrict the use of istiḥsān to cases that cannot be satisfactorily solved by applying such other well-established norms as, for example, analogy (qiyās) and consensus of opinion (ijmāʿ).
The truth is, rather, that no paradox is involved in denying most fundamental metaphysical claims, such as the assertion of the Materialist that there is nothing that cannot be satisfactorily explained in material terms or the corresponding principle of Aristotle that there is nothing that does not serve some purpose.
Metaphysics cannot be satisfactorily understood as an account of the world as a whole if that description suggests that the metaphysician is a sort of superscientist, unlimited in his curiosity and gifted with a capacity for putting together other people's findings with a skill and imagination that none of them individually commands.
First, we wish to bring to the attention of the Industrial Engineering community a challenging industrial problem, black-box structural design, which cannot currently be satisfactorily addressed by professional software for topology optimization.
Lymphocytes are short-lived, however, and cannot be cultivated satisfactorily.
They also leave out factors that cannot be modelled satisfactorily.
As the foreign minister of Austria, which holds the EU's rotating presidency, concludes, "this issue cannot be settled satisfactorily and conclusively for all 25 member states at the present time".It is tempting to conclude that the constitutional debate is therefore much ado about nothing.
As shown in Figure 6(b), the image cannot be patched satisfactorily.
