The Spanish world number five, twice winner of the title at the Buenos Aires Lawn Tennis Club and current defending champion, was pushed all the way in a tight first set, which was eventually settled by a tie-break.
The second set was also evenly-matched but red-dirt specialist Ferrer crucially broke twice to Argentine Gonzalez's once and claimed victory in just over two hours on court.
There was also a win for the in-form Fabio Fognini, the second seeded Italian beating Germany's Julian Reister 7-5 6-2.
Fognini, who won last week's opening tournament of the Latin American clay-court swing in Vina del Mar, will now meet home hope Leonardo Mayer, who downed fellow Argentine Facundo Argueello 6-3 6-4.
Buenos Aires Open results
Albert Ramos (Spain) beat 7-Juan Monaco (Argentina) 6-7(3) 6-4 6-2
1-David Ferrer (Spain) beat Maximo Gonzalez (Argentina) 7-6(7) 6-4
Filippo Volandri (Italy) beat Christian Garin (Chile) 5-7 6-0 6-3
6-Robin Haase (Netherlands) beat Martin Alund (Argentina) 6-4 6-7(6) 6-3
2-Fabio Fognini (Italy) beat Julian Reister (Germany) 7-5 6-2
Leonardo Mayer (Argentina) beat Facundo Argueello (Argentina) 6-3 6-4
Memphis International results
Alex Bogomolov Jr (Russia) beat 6-Sam Querrey (U.S.) 2-6 6-4 7-6(7)
Ryan Harrison (U.S.) beat Bjoern Phau (Germany) 6-3 6-4
Jack Sock (U.S.) beat Adrian Mannarino (France) 7-5 1-6 7-6(5)
Alex Kuznetsov (U.S.) beat David Goffin (Belgium) 6-4 6-3
Benjamin Becker (Germany) beat Lukas Lacko (Slovakia) 6-3 6-2
Marcos Baghdatis (Cyprus) beat Rajeev Ram (U.S.) 6-3 6-4
8-Mikhail Kukushkin (Kazakhstan) beat Teymuraz Gabashvili (Russia) 7-6(9) 7-5
Ivo Karlovic (Croatia) beat Matthew Ebden (Australia) 7-5 6-4