Easy if they provide the part number of the transformer, otherwise you can search for similar parameters from manufactures data base. For example: A fly back transformer selection criteria are given below.
• Primary inductance
• Leakage inductance
• Turns ratio
• Current rating
• Number of secondary
• Frequency of operation
• Power ratings
• Maximum Duty cycle
• Volt time product
• DC resistance
• Winding capacitance
• Temperature rise
• Mechanical dimension