If an astronomical object is far removed from the gravitational influence of other objects, it would not necessarily be motionless. In the absence of external forces, an object will continue to move with the same velocity and direction as before, according to Newton's first law of motion (the law of inertia). This means that if the object was already in motion, it would continue to move in a straight line at a constant speed.
However, it's important to note that even in the most remote regions of space, gravitational forces still exist, albeit they may be extremely weak. Gravitational fields extend indefinitely, although their strength diminishes with distance. Therefore, it is practically impossible to find a location completely devoid of any gravitational influence.
Additionally, the concept of motion is relative. An object's motion is always measured with respect to some frame of reference. Even in the absence of other objects, one can define a reference frame based on the distant background of stars or galaxies. From this perspective, an object's motion can still be described within that reference frame.
In summary, while an object far removed from other gravitational influences may not experience significant external forces, it would continue to move in a straight line at a constant speed unless acted upon by other forces. However, finding a location completely free from any gravitational effects is unlikely in practice.