A parent can not move abroad with their children without seeking agreement from the other parent, if the other parent has parental responsibility for the child.
If consent has been sought but is not forthcoming, an application to the court may be necessary.
Court proceedings of this nature can be very complex and costly and you need to ensure you have obtained correct legal advice before proceeding with an application. Your case needs to be carefully prepared and must make it clear to the court why you are making the move abroad and how it will benefit your children.
Even if the court grants you permission to take your child to live abroad, the court will usually require arrangements for future contact to be put in place before the case finishes.
If you are a parent concerned that the other parent is planning to take your child to live abroad then you should seek legal advice from a family law specialist.