Hello,
Actually, this would be more academic question, but in general, the FOC is usually realized in D-Q frame (which acts as if a motor would be DC-motor). The Clarke and Park transform is used to go from this D-Q reference frame to three-phase A-B-C system and back to D-Q (for feedback signals). That means, if there would be any difference between the star and the delta connection, such transform would make it the same.
The only difference I see is the position of the rotor in reaction to a certain voltage vector. But again, considering a rotor position sensor and its linkage to the D-Q reference frame position, applying a D-axis voltage vector would make the rotor to align with the magnetic flux in both connection. If you would have these two motors next to each other, one star- and the other delta-connected, it might move the rotor to a different angle / real rotor position. But in terms of internal FOC "D-Q" frame and the rotor position seen by a sensor interface, it would be the same - the algorithm "sees" it the same.
Put in a simple words: there is no significant difference between star- or delta-connected motor field-oriented control.
What might be different is the flux and its harmonic components, but since you are probably investigating the motor already connected in the delta-connection, you would project these parameters again into D-Q frame. Mention the motor parameters, Rs, Ld and Lq (synchronous resistance and inductances) have to be measured in the configuration which will be used for the final application (parameters measured in star-connection cannot be used in delta-connected control and vice versa).
What IS definitely different is the voltage amplitude applied to the motor terminals to meet the nominal/maximal phase voltage, but as far as you probably have your motor designed for certain voltage, this would be no issue.
I hope it helps,
Best regards,
Matej