Sheffield Wednesday beat Preston North End 3-1 at the weekend.
Pudil requested to come off after 70 minutes of the contest, but the Portuguese boss asked the defender to stay on the pitch, as he wanted to swap other players around.
In the end, it proved to be a good bit of management, as Pudil helped Wednesday survive a late scare and hold on to the three points.
"It’s a fantastic day for him,” Carvalhal said of Pudil. “He had a daughter and he scored a goal and in the last 20 minutes he asked to come off, but we asked him to stay on. He did very well.”
Pudil had to undergo a late fitness test to ensure that he was able to play against Preston, but he came through it unscathed and actually scored his side's second goal during the contest.
That was the defender's first goal of his loan spell from Watford, which is turning out to be a very productive temporary move.
Pudil has already gone on record to the Sheffield Star, to state his desire to make a permanent move to Hillsborough, and he appears to be enjoying his time with the Yorkshire club.
Wednesday have won their last four matches in all competitions, and they are currently in 10th place in the Championship table.