The present invention relates to a stopcock for use in intravenous catheter apparatus and infusions of intravenous fluid to a patient. An intravenous catheter apparatus (10) comprising: an integrated three-way stopcock assembly (12), and a catheter hub assembly (14) having a proximal end (30a) configured to be connected to a needle hub (28) having a needle (18), and having a distal end (32a) configured to be connected to a catheter tube (16), wherein a straight needle (18) is capable of passing through said proximal end (30a) and distal end (32a) of the catheter hub assembly (14), in a ready position of the intravenous catheter apparatus (10), said catheter hub assembly (14) includes: a wing housing (36) at the distal end (32a), a housing (38) at the proximal end (30a), and a body portion (40) in between housing said three-way stopcock assembly (12); wherein said body portion (40) comprises an entry port (44) in communication with said housing (38), an exit port (46) in communication with said wing housing (36), wherein the entry port (44) and the exit port (46) extend along a horizontal line in an axial direction (A), and an injection port (48), wherein all of these ports (44, 46, 48) are confluent at a central chamber (50) configured within the body portion (40); wherein said three-way stopcock assembly (12) has a top portion (52a) and an opposing bottom portion (54a), both along a vertical line perpendicular to the horizontal line, as well as a handle (56) configured in said top portion (52a), wherein the handle (56) has a first portion (58) parallel to the horizontal line and a second portion (60) parallel to the injection port (48), in the ready position, and wherein the three-way stopcock assembly (12) has rotation capabilities relative to the body portion (40) of the catheter hub assembly (14).