If you by series field mean a motor with just one field - and a series one. Like a traction motor, you cannot use it with a standard four quadrant thyristor rectifier. But you surely can use it with a specially designed thyristor rectifer. It is being done all the time in traction applications like trains and the like.
If, on the other hand, you mean a standard DC motor with a series field, then you have to tell if the series field is there to stabilize speed aka negative compounding or if it is there to improve load sharing, positive compounding, when several motors run off a common DC source.
In the former case (stabilizing), the series field weakens the main field when motoring and strengthens the main field when braking.
Strengthening the field when braking means increasing the EMF and that can make the thyristor rectifier trip on commutation error (meaning fuse and collector break down) if you are close to top speed.
If the series field is there to improve load sharing, increased load means increased field strength when motoring and reduced field when regenerating. That would be non-critical.
Answer: It depends. As usual.
Gunnar Englund
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