Final answer:
The project management tool that would help track the estimated potential delays is Program Evaluation and Review Technique (PERT).
Step-by-step explanation:
The project management tool that would help track the estimated potential delays in implementing a new HR Information System is Program Evaluation and Review Technique (PERT). PERT is a project management technique that uses three time estimates - optimistic, probable, and pessimistic - to calculate the expected duration of a project. It helps in assessing the time required for each task, identifying potential delays, and determining the critical path.
Other options like Gantt chart, critical path analysis, and scenario planning table may be useful in project management, but they do not specifically address the estimation of potential delays based on optimistic, probable, and pessimistic timelines.