The four; Stephen Wallwork, 27 from Whalley Range, Hayley Smith, 22 originally from Lincolnshire, Saqib Hussain, 22 from Rusholme and Irfan Suleman, 22 from Irlam were chosen from around 50 applicants.
The formal part of the programme will take one year to complete and graduates will be assessed based upon their individual skill sets and recruited into the business.
Unicom - which provides telecom, broadband and website design packages to small business - plans to recruit and train graduates on a fast track program to become its managers of the future, as well as promoting talented employees within the company.
"It's important that employees start at grass roots level and understand the business from every angle - a formal graduate training programme will ensure that the successful applicants learn every aspect of the business so they are equipped to take on managerial roles in the future," said Chris Earle, Operations Director, Unicom.
The news comes following announcements earlier in the year that Unicom plans to recruit a further 100 staff over the next 12 months.
The graduates will work their way through the different departments in the business including customer services, credit control, contract processing and enquiries, escalations (handling more complex issues), product development and management information.
"On completion of the formal training year, we will assess which area of the business best suits each trainees skill set and discuss which area of the business they would like to join going forward," said Chris Earle.