An electric current in a (straight) wire produces magnetic field around the wire. The direction of the field is always related to the direction of the current and can be determined by using the right hand rule.
There are two possible directions for magnetic field around the wire to orient, left or right. But why magnetic field always pursues only one direction relative to the current movement is the most fascinating question to ask.
The explanation for this phenomenon may be that nature knows only one direction and left or right doesn’t exist, or this rule only applies to our galaxy. May be in other galaxies the direction is reversed.