We present Atacama Large Millimetre/Sub-Millimetre Array ( ALMA ) observations of IRAS 19132+1035 , a candidate jet-ISM interaction zone near the black hole X-ray binary ( BHXB ) GRS 1915+105 . With these ALMA observations ( combining data from the 12 m array and the Atacama Compact Array ) , we map the molecular line emission across the IRAS 19132+1035 region . We detect emission from the ^ { 12 } CO [ J = 2 - 1 ] , ^ { 13 } CO [ \nu = 0 , J = 2 - 1 ] , C ^ { 18 } O [ J = 2 - 1 ] , { H } _ { 2 } { CO } [ J = 3 _ { 0 , 3 } -2 _ { 0 , 2 } ] , { H } _ { 2 } { CO } [ J = 3 _ { 2 , 2 } -2 _ { 2 , 1 } ] , { H } _ { 2 } { CO } [ J = 3 _ { 2 , 1 } -2 _ { 2 , 0 } ] , SiO [ \nu = 0 , J = 5 - 4 ] , CH _ { 3 } OH [ J = 4 _ { 2 , 2 } -3 _ { 1 , 2 } ] , and CS [ \nu = 0 , J = 5 - 4 ] transitions . Given the morphological , spectral , and kinematic properties of this molecular emission , we present several lines of evidence that support the presence of a jet-ISM interaction at this site , including a jet-blown cavity in the molecular gas . This compelling new evidence identifies this site as a jet-ISM interaction zone , making GRS 1915 + 105 the third Galactic BHXB with at least one conclusive jet-ISM interaction zone . However , we find that this interaction occurs on much smaller scales than was postulated by previous work , where the BHXB jet does not appear to be dominantly powering the entire IRAS 19132+1035 region . Using estimates of the ISM conditions in the region , we utilize the detected cavity as a calorimeter to estimate the time-averaged power carried in the GRS 1915+105 jets of ( 8.4 ^ { +7.7 } _ { -8.1 } ) \times 10 ^ { 32 } { erg s } ^ { -1 } . Overall , our analysis demonstrates that molecular lines are excellent diagnostic tools to identify and probe jet-ISM interaction zones near Galactic BHXBs .