Disclaimer: this is my personal attempt to figure out what comics i need to read to properly understand Battle for the Cowl, not a guide.

PRE EVENT

• Batman and Son
  • Batman #655
  • Batman #656
  • Batman #657
  • Batman #658
• Batman: The Black Glove
  • Batman #667
  • Batman #668
  • Batman #669
  • Batman #672
  • Batman #673
  • Batman #674
  • Batman #675
• Batman R.I.P.
  • Batman R.I.P.
    • Batman #676
    • Batman #677
    • Batman #678
    • Batman #679
    • Batman #680
    • Batman #681
  • Batman: Heart of Hush
    • Detective Comics #846
    • Detective Comics #847
    • Detective Comics #848
    • Detective Comics #849
    • Detective Comics #850
  • Batman and the Outsiders: Outsiders No More
    • Batman and the Outsiders (Volume 2) #11
    • Batman and the Outsiders (Volume 2) #12
    • Batman and the Outsiders (Volume 2) #13
  • Nightwing: The Great Leap
    • Nightwing (Volume 2) #147
    • Nightwing (Volume 2) #148
    • Nightwing (Volume 2) #149
    • Nightwing (Volume 2) #150
  • Robin: Scattered Pieces
    • Robin (Volume 2) #175
    • Robin (Volume 2) #176
  • The Missing Chapter
    • Batman #701
    • Batman #702
• Final Crisis
  • Final Crisis #1
  • Final Crisis #2
  • Final Crisis #3
  • Final Crisis #4
  • Final Crisis #5
  • Final Crisis #6
  • Final Crisis #7

(There are many more Final Crisis comics, check https://dc.fandom.com/wiki/Final_Crisis if this does not provide enough context)

• Batman: Last Rites
  • Batman #682
  • Batman #683
  • Batman #684
  • Batman #685
  • Detective Comics #851
  • Detective Comics #852
  • Nightwing (Volume 2) #151
  • Nightwing (Volume 2) #152
  • Nightwing (Volume 2) #153
  • Robin (Volume 2) #183)

Battle for the Cowl

• Batman: Battle for the Cowl
  • Gotham Gazette: Batman Dead? #1
  • Batman: Battle for the Cowl #1
  • Batman: Battle for the Cowl #2
  • Batman: Battle for the Cowl #3
  • Gotham Gazette: Batman Alive? #1
• One-Shots
  • Battle for the Cowl: Arkham Asylum #1
  • Battle for the Cowl: Commissioner Gordon #1
  • Battle for the Cowl: Man-Bat #1
  • Battle for the Cowl: The Network #1
  • Battle for the Cowl: The Underground #1
  • Secret Six (Volume 3) #9
• The Cure
  • Oracle: The Cure #1
  • Oracle: The Cure #2
  • Oracle: The Cure #3
• Death's Dark Knight
  • Azrael: Death's Dark Knight #1
  • Azrael: Death's Dark Knight #2
  • Azrael: Death's Dark Knight #3