Conrad "Conny" Heidkamp (27 September 1905 – 6 March 1994) was a German footballer who played as a defender for Düsseldorfer SC 99 and Bayern Munich
Between 1927 and 1930, he won 9 caps with the German national football team, scoring 1 goal.
At Bayern Munich he earned captaincy of the team in 1932 via victory over Eintracht Frankfurt in the final, winning the German football championship.