Questions & Answers about Con paciencia, voy mejorando mi pronunciación cada día.
Con paciencia means with patience and works like an adverbial phrase: it tells you how the action happens.
Spanish often uses con + noun where English might use an adverb or a different structure. So instead of something like patiently, Spanish very naturally says con paciencia.
It is placed at the beginning here for emphasis, but you could also say:
That sounds grammatical too, but the original version highlights the idea of patience first.
The comma is used because Con paciencia is an introductory phrase placed before the main clause.
So the sentence is divided like this:
The comma is very natural here, especially in writing. In shorter sentences like this, some punctuation choices can vary a little, but this comma is completely normal.