Cvercko was selected by the Green Bay Packers in the fifth round (55th overall) of the 1959 NFL draft, with the intention of playing him at offensive guard.
As a rookie, he suffered a knee injury in the season opener against the Chicago Bears and was lost for the year.
[4] On July 10, 1963, he was traded to the Cleveland Browns in exchange for a sixth round draft choice (#82-Jim Curry).
On September 25, 1963, he was signed as a free agent by the Washington Redskins, to replace injured guard Wiley Feagin.
After football, he researched nuclear magnetic resonance at Argonne National Laboratories and worked as an electronic engineer at Motorola.