From my limited experience with this (seeing my parents-in-law replace/renew theirs) you can replace small sections but colour matching might be difficult.
As I recall, the parquet tiles are stuck to the floor with a thick sort of black glue substance. My parents-in-law laid the parquet tiles themselves and then got a specialist in to sand and seal the floor afterwards. I imagine that both of the latter could have been done with the right tools and time.
I think the problem with getting someone in to do the work from scratch will add up in terms of labour costs, i.e. ripping up the old floor will take time. If this is the case, then see if you can hire someone cheaper to do or assist with the grunt work, i.e. a handyman might cost less per hour to rip up the floor than a flooring specialist.
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As I recall, the parquet tiles are stuck to the floor with a thick sort of black glue substance. My parents-in-law laid the parquet tiles themselves and then got a specialist in to sand and seal the floor afterwards. I imagine that both of the latter could have been done with the right tools and time.
I think the problem with getting someone in to do the work from scratch will add up in terms of labour costs, i.e. ripping up the old floor will take time. If this is the case, then see if you can hire someone cheaper to do or assist with the grunt work, i.e. a handyman might cost less per hour to rip up the floor than a flooring specialist.